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Anjali draws an angle and its supplement, then notices the supplement is 36° more than thrice the angle. Find the angle (in degrees).

Class 9Pairs of AnglesGeometry — Lines and Angles

A36
B72
C40
D32

Step-by-Step Solution

Let the angle be

x

. Supplement =

180 - x = 3 x + 36

, so

180 - 36 = 4 x, 144 = 4 x, x = 36

deg.

Answer: A) 36

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