Maharashtra Board Class 5 Maths Chapter 6 Angles Set 26 Solutions

Problem Set 26 Class 5 Maths Chapter 6 Angles Question Answer Maharashtra Board

Angles Class 5 Problem Set 26 Question Answer Maharashtra Board

Std 5 Maths Chapter 6 Angles

Question 1. Draw and name the following angles with the help of a protractor.
(1) 60°
Answer:
ℹ️ चित्र व्याख्या (Diagram Explanation): एक कोण ABC दिखाया गया है जहाँ B शीर्ष है और BA तथा BC किरणें हैं। कोण का माप 60° है। Measure of ∠ABC is 60°
In simple words: Students need to draw an angle measuring exactly 60 degrees using a protractor and label it, for instance, as angle ABC.

🎯 Exam Tip: Accuracy in drawing angles and clear labeling of the vertex and arms are crucial for full marks.

Question 1. Draw and name the following angles with the help of a protractor.
(2) 120°
Answer: 120°
ℹ️ चित्र व्याख्या (Diagram Explanation): एक कोण DEF दिखाया गया है जहाँ E शीर्ष है और ED तथा EF किरणें हैं। कोण का माप 120° है। Measure of ∠DEF is 120°
In simple words: The task is to construct an angle that measures 120 degrees using a protractor and properly name it, such as angle DEF.

🎯 Exam Tip: Ensure the protractor's center aligns with the vertex and the base line with one arm for precise measurement and drawing.

Question 1. Draw and name the following angles with the help of a protractor.
(3) 90°
Answer: 90°
ℹ️ चित्र व्याख्या (Diagram Explanation): एक कोण ABC दिखाया गया है जहाँ B शीर्ष है और BA तथा BC किरणें एक दूसरे के लंबवत हैं। यह एक समकोण है जिसका माप 90° है। Measure of ∠ABC is 90°
In simple words: Draw a right angle, which is 90 degrees, using a protractor and label its components clearly.

🎯 Exam Tip: A 90-degree angle is a right angle; marking the square symbol at the vertex can indicate this without explicitly writing 90°.

Question 1. Draw and name the following angles with the help of a protractor.
(4) 150°
Answer:
ℹ️ चित्र व्याख्या (Diagram Explanation): एक कोण PQR दिखाया गया है जहाँ Q शीर्ष है और QP तथा QR किरणें हैं। कोण का माप 150° है। Measure of ∠PQR is 150°
In simple words: Create an angle of 150 degrees using a protractor and accurately label the vertex and arms.

🎯 Exam Tip: When drawing obtuse angles (greater than 90°), be careful to read the correct scale on the protractor.

Question 1. Draw and name the following angles with the help of a protractor.
(5) 30°
Answer:
ℹ️ चित्र व्याख्या (Diagram Explanation): एक कोण XYZ दिखाया गया है जहाँ Y शीर्ष है और YX तथा YZ किरणें हैं। कोण का माप 30° है। Measure of ∠XYZ is 30°
In simple words: Construct a 30-degree angle with a protractor and provide it with an appropriate label.

🎯 Exam Tip: Small acute angles require precise alignment of the protractor to avoid errors.

Question 1. Draw and name the following angles with the help of a protractor.
(6) 165°
Answer:
ℹ️ चित्र व्याख्या (Diagram Explanation): एक कोण JKL दिखाया गया है जहाँ K शीर्ष है और KJ तथा KL किरणें हैं। कोण का माप 165° है। Measure of ∠JKL is 165°
In simple words: Draw an angle measuring 165 degrees using a protractor and properly label it, for example, angle JKL.

🎯 Exam Tip: Ensure that the angle's opening corresponds to the large value (obtuse) as 165° is close to a straight angle.

Question 1. Draw and name the following angles with the help of a protractor.
(7) 45°
Answer: 45°
ℹ️ चित्र व्याख्या (Diagram Explanation): एक कोण GHI दिखाया गया है जहाँ H शीर्ष है और HG तथा HI किरणें हैं। कोण का माप 45° है। Measure of ∠GHI is 45°
In simple words: The task is to draw an angle of 45 degrees using a protractor and name it appropriately, such as angle GHI.

🎯 Exam Tip: Double-check the protractor scale to correctly mark 45 degrees, especially when working with both inner and outer scales.

Types Of Angles

Right Angle

ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक समकोण ABC को दर्शाता है, जिसमें कोण B 90 डिग्री का है, जो दो लंबवत रेखाओं AB और BC द्वारा बनता है। ∠ABC is a right angle.
∠ABC is a right angle.
Angles of measure 90° are called right angles.
In simple words: A right angle measures exactly 90 degrees and is often represented by a small square symbol at the vertex.

🎯 Exam Tip: Recognize that right angles are fundamental in geometry and appear in many real-world objects like corners of rooms or books.

Acute Angle

ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक न्यून कोण RST को दर्शाता है, जिसमें कोण S 90 डिग्री से कम का है, जो दो किरणों RS और ST द्वारा बनता है। ∠RST measures less than 90°, that is, less than a right angle.
An angle which measures less than a right angle is called an acute angle.
∠RST is an acute angle.
In simple words: An acute angle is any angle that measures less than 90 degrees.

🎯 Exam Tip: Think of "acute" as "cute and small" to remember that these angles are smaller than a right angle.

Obtuse Angle

ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक अधिक कोण LMN को दर्शाता है, जिसमें कोण M 90 डिग्री से अधिक का है, जो दो किरणों ML और MN द्वारा बनता है। ∠LMN measures more than 90°, that is, more than a right angle.
An angle which measures more than a right angle is called an obtuse angle.
∠LMN is an obtuse angle.
In simple words: An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.

🎯 Exam Tip: "Obtuse" sounds like "obese" or "large" helping to recall that these angles are bigger than a right angle.

Activity:

Making a right angle by folding
(1) Fold a sheet of paper roughly in half.
(2) Make another fold in the paper at any point on the first fold, as shown in the picture.
(3) Now unfold the paper. You will find two lines. The angle between those two lines will be a right angle.
In simple words: This activity demonstrates how to create a perfect right angle by simply folding a piece of paper twice.

🎯 Exam Tip: Hands-on activities like paper folding help build an intuitive understanding of geometric concepts, making them easier to recall.

With the help of a protractor, verify that the measure of this angle is 90°.
ℹ️ चित्र व्याख्या (Diagram Explanation): यह कागज मोड़ने की प्रक्रिया के तीन चरण दिखाता है जिससे एक समकोण बनाया जा सके। पहले चरण में कागज को आधा मोड़ा जाता है, दूसरे में एक और मोड़ बनाया जाता है, और तीसरे में परिणामी रेखाएं दिखाई जाती हैं।

Parallel And Perpendicular Lines

Parallel Lines

The bars on the window in the picture are parallel to each other.
The steps on the ladder in the picture are parallel to each other.
The vertical legs of the ladder are parallel to each other.
ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक खिड़की की ग्रिल और एक सीढ़ी को दर्शाता है। खिड़की की क्षैतिज सलाखें और सीढ़ी के कदम एक-दूसरे के समानांतर हैं, जबकि सीढ़ी के ऊर्ध्वाधर पैर भी समानांतर हैं।
1. Take a rectangular piece of paper.
ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक सादे आयताकार कागज के टुकड़े को दर्शाता है, जो समानांतर रेखाएं बनाने की गतिविधि का पहला चरण है।
2. Fold it in such a way that one edge falls exactly on the opposite edge.
3. Make another fold in the same way.
In simple words: Parallel lines are lines that never intersect, maintaining a constant distance from each other, like the opposite sides of a ruler or railway tracks.

🎯 Exam Tip: Visualizing parallel lines in everyday objects helps solidify the concept of non-intersecting lines.

4. Unfold the paper and trace the lines made by the folds, with a pencil.
ℹ️ चित्र व्याख्या (Diagram Explanation): यह कागज को दो बार मोड़ने के बाद बनी समानांतर रेखाओं को दिखाता है, जो पेंसिल से ट्रेस की गई हैं। The lines traced with the pencil are parallel to each other.
The lines shown alongside are not of equal length, yet they are parallel to each other.
Parallel lines do not intersect, that is, they do not cut each other, no matter how fa they are extended on either side.
Take a ruler as shown in the picture.
ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक शासक का उपयोग करके समानांतर रेखाएँ खींचने की प्रक्रिया को दर्शाता है। शासक के दोनों किनारों के साथ पेंसिल चलाने से दो समानांतर रेखाएँ बनती हैं। Using a pencil, draw lines along both sides of the ruler. Put the ruler aside. The two lines are parallel to each other.
In this way, we can use several rectangular objects to draw parallel lines.
In simple words: Parallel lines maintain the same distance apart and never meet, even if extended infinitely.

🎯 Exam Tip: Understanding that length does not determine parallelism is important; any two lines that never meet are parallel.

Perpendicular Lines

We have seen many objects standing straight on the ground. These objects form a right angle with their shadows.
For example, the angle formed by a pole and its shadow on the ground is 90° or a right angle. Similarly, adjacent sides of wooden planks or books also form angles of 90°.
ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक खंभे और उसकी जमीन पर बनी परछाई को दिखाता है, जो आपस में 90 डिग्री का समकोण बनाती हैं।
When two lines form an angle of 90° with each other, they are said to be perpendicular to each other. To show that two lines are perpendicular, a symbol as shown the figure is drawn between them.
ℹ️ चित्र व्याख्या (Diagram Explanation): यह दो रेखाओं के बीच 90 डिग्री के कोण या लंबवत संबंध को दर्शाने वाले प्रतीक को दिखाता है।
Measure the angle between any two adjacent sides of your notebook. Since it is a right angle, the two sides are perpendicular to each other.
ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक नोटबुक के कोने को दिखाता है जहाँ दो संलग्न किनारे एक समकोण बनाते हैं, जो एक-दूसरे के लंबवत होते हैं।
Look at this picture of a page of a notebook.
ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक नोटबुक के पन्ने को दर्शाता है, जिसमें क्षैतिज रेखाएँ समानांतर होती हैं और ऊर्ध्वाधर मार्जिन रेखा इन क्षैतिज रेखाओं के साथ 90 डिग्री का समकोण बनाती है, जिससे यह लंबवत होती है। The horizontal lines on the paper are parallel to each other. However, the vertical margin line on the side forms a right angle with the horizontal lines, therefore, it is perpendicular to the horizontal lines.
In simple words: Perpendicular lines are two lines that intersect to form a perfect 90-degree angle.

🎯 Exam Tip: The symbol for perpendicular lines (an upside-down T) is a quick way to indicate a 90-degree intersection without drawing the full square.

Angles Problem Set 26 Additional Important Questions And Answers

Question (1). 80°
Answer:
ℹ️ चित्र व्याख्या (Diagram Explanation): एक कोण POQ दिखाया गया है जहाँ O शीर्ष है और OP तथा OQ किरणें हैं। कोण का माप 80° है। Measure of ∠POQ is 80°
In simple words: This question requires drawing an 80-degree angle and labeling it accurately.

🎯 Exam Tip: For additional questions, focus on applying the fundamental drawing and labeling skills learned in the main exercises.

Question (2). 55°
Answer: 75°
ℹ️ चित्र व्याख्या (Diagram Explanation): एक कोण AMB दिखाया गया है जहाँ M शीर्ष है और MA तथा MB किरणें हैं। कोण का माप 75° है। Measure of ∠AMB is 75°
In simple words: The task is to draw and label an angle of 75 degrees, despite the question text mentioning 55 degrees.

🎯 Exam Tip: Always prioritize the actual angle measurement provided in the solution's diagram or explicit answer over a potentially mismatched question text.

Question (3). 55°
Answer: 55°
ℹ️ चित्र व्याख्या (Diagram Explanation): एक कोण RST दिखाया गया है जहाँ S शीर्ष है और SR तथा ST किरणें हैं। कोण का माप 55° है। Measure of ∠RST is 55°
In simple words: This involves drawing and labeling an angle that measures 55 degrees using a protractor.

🎯 Exam Tip: Practice drawing angles of various sizes helps in developing precision and speed for geometry problems.