Question

answer the question​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given - PQ is parallel to ST

Angle PQR = 110degree and

Angle RST =130degree

Construction- Draw the line from S which is parallel to PQ named as F And then draw another line fr Q which is parallel to TS named as X

To find - Angle QRS

SOLUTION -

CASE 1:-

Angle FST + Angle TSR = 180°

( Linear pair)

Angle FST + 120° = 180°

Angle FS= 180°-130°

Angle FST = 6130°

Angle FST = Angle PXR. ( by construction)

CASE 2:-

Angle PQR + Angle XQR = 180° (Linear pair)

110° + Angle XQR = 180°

Angle XQR = 180°-110°

Angle XQR = 70°

In triangle XQR

Angle XQR +Angle QXR +Angle QRX = 180°

(Angle sum property of triangle)

70° + 50° + Angle QRX= 180°

Angle QRX = 180°- 120°

Angle QRX= 60°