Question

n figure, if AB||CD then find angle PQR.
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Answer 1

Answer:

85 i guesssddd..........

Answer 2

Answer:

angle PQR= 90°

construct a line XY parallel to line AB and CD

cutting Q in the middle.

so that, XYllABllCD

now, angle QRC=35°

and angle YQR= 35° [ alternate interior angle]

similarly, angle BPQ=125°

and angle PQX= 125°

angle PQX+angle PQY=180° [ straight line]

on substituting, we get

=> 125°+PQY=180°

=> PQY=180°-125°

=> PQY= 55°

now, angle PQY+ angle YQR= angle PQR

55° +35°=PQR

• answer= PQR= 90°