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The sides PQ and RS of the quadrilateral PQRS are parallel. Find all the exterior and interior angles of the quadrilateral.

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PQ and RS are parallel to each other ∠P = 500, 

The exterior angle at S = 500

∴ ∠S = 130°

∠Q = 360 – (50 + 130 + 110)

= 360 – 290 = 70°

The angles of the quadilateral are ∠P = 50°,

∠Q = 70°, ∠R = 110°, and ∠S = 130°

The exterior angles are 130°, 110°, 70°, 50°

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