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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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