Question 56

In a parallelogram PQRS, angle P is four times of angle Q, then the measure of angle R is

Solution

Sum of adjacent angles of a parallelogram = 180°
Let angle Q be x.
x + 4x = 180°
5x = 180°
x = 36°
Angle Q + Angle R = 180° ( Adjacent angles)
=> Angle R = 180° - 36°
Angle R = 144°.
Option A is the right answer.


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