Question

in figure if PQ is perpendicular to a SR, PQ parallel to SR, D Angel SQR = 28° and Angle QRT = 65° then find the values of X and Y

Answer 1

Hey there,

∠QRT=∠RQP as they are alternate angles
=> 65°=28°+x
=> x=37°

∠PQS=∠QSR since they are alternate angles
and y+∠QSR=90° since PS⊥SR
So y=90°-37°
=> y=53°

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Answer 2

I hope this helps you