Question

in given figure below pqrs is a trapezium in which PQ parallel to RS and PS equal to QR show that angle P equal to angle q​

Answer 1

Answer:

Where's the figure??

Step-by-step explanation:

Answer 2

Answer with Step-by-step explanation:

PQ is paralle to RS

PS=QR

Construction: Line PQ is produced to T and join RT such that RT and RQ

Proof: Angle RTQ=Angle RQT

Reason: Angle made by two equal side are equal.

Angle RQT+Angle RQP=180 degrees (Linear pair)...(1)

PT is a transversal line

Angle P+angle RTQ=180 degrees (Interior angle sum )

Substitute the value

Angle P+angle RQT==180 degrees ..(2)

From equation(1) and equation(2)

$\angle P+\angle RQT=\angle RQT+\angle RQP$

$\angle P=\angle RQP$

Hence ,angle P=angle Q

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