Maharashtra Board Class 6 Maths Chapter 2 Angles Set 2 Solutions

Question 1. Match the following:

Answer:
(i - Straight Angle),
(ii - Reflex Angle),
(iii - Complete Angle),
(iv - Zero Angle).
In simple words: This question tests your knowledge of different types of angles based on their measures. A straight angle is 180°, a reflex angle is between 180° and 360°, a complete angle is 360°, and a zero angle is 0°.

🎯 Exam Tip: Remember the definitions and ranges for each angle type (acute, right, obtuse, straight, reflex, zero, complete) as these are fundamental concepts in geometry and frequently appear in exams.

Question 2. The measures of some angles are given below. Write the type of each angle:
1. 75°
2. 0°
3. 215°
4. 360°
5. 180°
6. 120°
7. 148°
8. 90°
Answer:
1. Acute angle
2. Zero angle
3. Reflex angle
4. Complete angle
5. Straight angle
6. Obtuse angle
7. Obtuse angle
8. Right angle
In simple words: An acute angle is less than 90°, a zero angle is 0°, a reflex angle is greater than 180° but less than 360°, a complete angle is 360°, a straight angle is 180°, an obtuse angle is greater than 90° but less than 180°, and a right angle is exactly 90°.

🎯 Exam Tip: Practice identifying angle types quickly based on their degree measures. This helps in solving problems related to angle classification and measurement.

Question 3. Look at the figures below and write the type of each of the angles:
ℹ️ चित्र व्याख्या (Diagram Explanation): (a) एक कोण जो 0° से बड़ा और 90° से छोटा है, दर्शाया गया है। (b) एक समकोण (90°) दर्शाया गया है। (c) एक प्रतिवर्ती कोण (180° से बड़ा और 360° से छोटा) दर्शाया गया है। (d) एक सीधा कोण (180°) दर्शाया गया है। (e) एक शून्य कोण (0°) दर्शाया गया है। (f) एक पूर्ण कोण (360°) दर्शाया गया है।
Answer:
a. Acute angle
b. Right angle
c. Reflex angle
d. Straight angle
e. Zero angle
f. Complete angle
In simple words: Each figure visually represents a specific type of angle. By observing the opening between the arms and its relation to key angle measures (0°, 90°, 180°, 360°), you can correctly identify if it's an acute, right, reflex, straight, zero, or complete angle.

🎯 Exam Tip: Visual recognition of angle types is crucial. Pay attention to the arc marking the angle and any square symbols indicating a right angle (90°).

Question 4. Use a protractor to draw an acute angle, a right angle and an obtuse angle:
ℹ️ चित्र व्याख्या (Diagram Explanation): तीन कोणों को चांदा का उपयोग करके खींचा गया है: पहला एक तीव्र कोण (60°) है, दूसरा एक समकोण (90°) है, और तीसरा एक अधिक कोण (120°) है, जिसमें उनके शीर्ष और भुजाएँ स्पष्ट रूप से दिख रही हैं।
Answer:
P
A
L
120°
60°
B
Q
C
R
M
N
Acute angle
Right angle
Obtuse angle
[Note: Students may draw acute and obtuse angles of measure other than the ones given.]
In simple words: To draw these angles, align the protractor's center with the vertex and the baseline with one arm, then mark the desired degree for the second arm. An acute angle is less than 90°, a right angle is exactly 90°, and an obtuse angle is between 90° and 180°.

🎯 Exam Tip: When drawing angles, accuracy in using the protractor is important. Ensure the vertex and baseline are correctly aligned and the angle measure is clearly marked and drawn.

Maharashtra Board Class 6 Maths Chapter 2 Angles Practice Set 2 Intext Questions and Activities

Question 1. Look at the angles shown in the pictures below. Identify the type of angle and write its name below the picture:
ℹ️ चित्र व्याख्या (Diagram Explanation): पहली तस्वीर में एक घड़ी की सुइयां एक अधिक कोण बना रही हैं। दूसरी तस्वीर में कैंची की खुली भुजाएं एक समकोण बना रही हैं। तीसरी तस्वीर में एक हवाई जहाज का पंख मुख्य शरीर के साथ एक तीव्र कोण बना रहा है।
Answer:
Obtuse angle
Right angle
Acute angle
In simple words: By observing real-world objects, you can identify different types of angles based on their visual appearance. A clock's hands, scissors, or parts of a plane can illustrate obtuse, right, and acute angles, respectively.

🎯 Exam Tip: Relate geometric concepts to real-life examples to better understand and remember them. This helps in visualizing angle types beyond abstract diagrams.

Question 2. Complete the following table:

Answer:

In simple words: An angle is formed by two rays meeting at a common endpoint called the vertex. The rays are known as the arms of the angle. An angle can be named using three letters, with the vertex letter in the middle.

🎯 Exam Tip: Clearly identifying the vertex and arms of an angle is fundamental for naming angles correctly and understanding their properties in geometry problems.