Question

In below figure, l ||m ||n. ∠ QPS = 35° and ∠ QRT = 55°. Find ∠PQR

Answer 1

Answer:

∠QPS = ∠PQA = 35° (Alternate Interior angle)

∠QRT = ∠RQA = 55° (Alternate Interior angle)

∠PQA + ∠RQA = ∠PQR

⇒ ∠PQR = 900

Answer 2

< QPS = <PQA = 35° ( alternate angle)

< ORT = <RQA = 55°( alternate angle)

IF TWO LINE ARE PARALLEL THEH ALTERNATE ANGLE WILL BE 180°

so, <QPS + <QRT + < PQR = 180°

35°+55°+<PQR =180°

90° +<PQR = 180°

<PQR = 90°(180°-90°)