Math, asked by mbhavya665, 4 months ago

if PQ parallel to ST, angle PQR=110° and Angle RST=130° find angle QRS​

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Answered by mustin987654321
2

Answer:

60

Step-by-step explanation:

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Answered by AarchiD4
29

Given :PQ || ST, ∠PQR = 110° and ∠RST = 130°

Construction:A line XY parallel to PQ and ST is drawn.

∠PQR + ∠QRX = 180° (Angles on the same side of transversal.)

110° + ∠QRX = 180°

∠QRX = 180° - 110°

∠QRX = 70°

Also,∠RST + ∠SRY = 180° (Angles on the same side of transversal.)

130° + ∠SRY = 180°

∠SRY = 50°

Now,∠QRX +∠SRY + ∠QRS = 180°

70° + 50° + ∠QRS = 180°

∠QRS = 60°

Hence, ∠QRS = 60°

Hope it's helpful to you

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