Question

two adjecent angles of a parallogram PQRS are in the ratio 2:7. find all angles of parrallogram

Answer 1

Answer :

Ratio of adjacent angles = 2:7
then,
∠P : ∠Q = 2:7
∠A = 2x
∠B = 7x

We have sum of adjacent 180°
∠P + ∠Q = 180°
2x + 7x = 180°
9x = 180°
x = 180° /9
x = 20°

∠P = 2x
= 2×20
= 40°

∵∠R = ∠P (opposite angles are equal of parallelogram)
∠R = 108°

∠Q = 7x
= 7×20
= 140°

∠S = ∠Q (opposite angles are equal of parallelogram)
∠S = 140°

★ BE BRAINLY ★