Math, asked by blahblah5566, 3 months ago

Please answer this question​

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Answered by Anonymous
4

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➽ Construction:

Draw a line YZ parallel to OP through Q.

OP||RS (given)

OP||YZ (By construction)

RS||YZ (lines parallel to same line are parallel to each other)

∠RQZ + ∠SRQ = 180° (co interior angles)

∠RQZ = 180° - 130°

∠RQZ = 50°

∠OPQ = ∠PQZ (alternate interior angles)

∠PQZ = 110°

∠PQR + ∠RQZ = ∠PQZ

∠PQR + 50° = 110°

∠PQR = 110°- 50°

ANSWER: ∠PQR = 60°

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