Question

PQRS is a trapezium in which PQ is parallel to RS and PS=QR. If angle P= 120 degree , find angle S​

Answer 1

Given :

PORS is a trapezium

PQ ll SR

$∠P = 30°$

$∠Q = 50°$

To find :

∠S = ?

Now,

$∠S + ∠P = 108°$

$</p><p>\therefore Supplementary \: angles$

$∠S + 30° = 180°$

∠S = 180° - 30°

∠S = 180° - 30°

∠S = 150°

Hence, ∠S = 150°.