Question

PQRS is a rhombus with angle SPR = 44°.Find angle PSQ and angle PQR. ​

Answer 1

Step-by-step explanation:

rhombus PQRS

draw diagonal PR

PQ=QR

angle RPQ=54º

triangle PQR is isosceles

angle PRQ=54º

angle RQP=180-54-54=72º

draw diagonal QS

diagonal QS bisects angle RQP

angle RQS=72º/2=36º

angle PSR=angle RQP (opposite angles of a rhombus are equal in measure)

angle PSR=72º

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