Maharashtra Board Class 8 Maths Chapter 2 Parallel Lines and Transversals Set 2.1 Solutions

Question 1. In the given figure, each angle is shown by a letter. Fill in the boxes with the help of the figure
ℹ️ चित्र व्याख्या (Diagram Explanation): दो समानांतर रेखाओं को एक तिर्यक रेखा काट रही है, जिसमें कोणों को p, q, s, r, w, x, z, y अक्षरों से दर्शाया गया है।
Answer:
Corresponding angles:
(i) ∠p and ∠w
(ii) ∠q and ∠x
(iii) ∠r and ∠y
(iv) ∠s and ∠z
Interior alternate angles:
(v) ∠s and ∠x
(vi) ∠w and ∠r In simple words: Corresponding angles occupy the same relative position at each intersection point. Interior alternate angles are found on opposite sides of the transversal, located between the parallel lines.

🎯 Exam Tip: When identifying corresponding or alternate angles, carefully observe the position of each angle relative to the transversal and the two parallel lines to avoid common errors.

Question 2. Observe the angles shown in the figure and write the following pair of angles.
ℹ️ चित्र व्याख्या (Diagram Explanation): दो समानांतर रेखाओं को एक तिर्यक रेखा काट रही है, जिसमें कोणों को a, b, c, d, e, f, g, h अक्षरों से दर्शाया गया है।
Answer:
(1) Interior alternate angles: ∠c and ∠e; ∠b and ∠h
(2) Corresponding angles: ∠a and ∠e; ∠b and ∠f; ∠c and ∠g; ∠d and ∠h
(3) Interior angles: ∠c and ∠h; ∠b and ∠e In simple words: Interior alternate angles are on opposite sides of the transversal between the lines. Corresponding angles are in the same relative position. Interior angles are between the lines on the same side of the transversal.

🎯 Exam Tip: Distinguish carefully between interior alternate angles and interior angles. Interior alternate angles are on opposite sides of the transversal, while interior angles are on the same side, both between the parallel lines.