PQRS is a quadrilateral in which PQ is parallel to RS, angle PQR is 130 degrees and angle QPS is - Maths - Understanding Quadrilaterals

Question

PQRS is a quadrilateral in which PQ is parallel to RS, angle PQR is
130 degrees and angle QPS is 75 degrees Find angle PSR and angle
QRS

Lovina Kansal · Accepted Answer

Dear student
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Since PQ∥RS
 So, PQRS is a trapezium
In trapezium Adjacent angles are supplementary
∴∠P+∠S=180°⇒75°+∠S=180°⇒∠S=105°and ∠Q+∠R=180°⇒130°+∠R=180°⇒∠R=50°
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PQRS is a quadrilateral in which PQ is parallel to RS, angle PQR is 130 degrees and angle QPS is 75 degrees. Find angle PSR and angle QRS