Book: NCERT - Mathematics
Chapter: 3. Understanding Quadrilaterals
Subject: Maths - Class 8th
Q. No. 12 of Exercises 3.3
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12
Find the measure of 
and 
if 
in Fig 3.34.
(If you find 
is there more than one method to find 
?)
According to the figure,
∠P + ∠Q = 180° (Angles on the same side of transversal)
∠P + 130° = 180°
∠P = 50°
∠R + ∠S = 180° (Angles on the same side of transversal)
90° + ∠R = 180°
∠S = 90°
Yes, there is one more method to find the measure of m ∠P, m ∠R and m ∠Q are given. After finding m ∠S, the angle sum property of a quadrilateral can be applied to find m ∠P
12
in Fig 3.33 if 
