Question

in a rectangle PQRS angle SQR =55°. Find angle POQ​

Answer 1

Answer:

70

Step-by-step explanation:

all angles of a rectangle are equal

angle SRQ = angle SQR = 55

when we add up all the angles of a triangle = 180

55+55+x = 180

110+x = 180

x = 180-110

x = 70

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Answer 2

Angle SQP=90°0-angleSQR=90°-55°=35°

PO=OQ(diagonal PR and QS are equal and bisect each other)

Therefore∆POQ is an isosceles triangle = angle RPQ=angle SQP =35°

AngleSQP+AngleRPQ+ AnglePOQ =180°(sum of angles of ∆POQ)

=AnglePOQ=180°- (angleRPQ+ angleSQP)=180°-70°=110°