## □PQRS is a parallelogram. ∠Q = 50° then find measure of 1 opposite angle and 1 adjacent angle​

Question

□PQRS is a parallelogram. ∠Q = 50° then find measure of 1 opposite angle and 1 adjacent angle​

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3 months 2021-07-19T21:13:55+00:00 2 Answers 0 views 0

1. Given : PQRS is a parallelogram. ∠Q = 50° .

To Find : Measure of 1 opposite angle and 1 adjacent angle ?

since PQRS is a parallelogram ,

• PQ || RS
• PS || QR .

so,

→ ∠P + ∠Q = 180° { Adjacent angles on same side.}

→ ∠P + 50° = 180°

→ ∠P = 180° – 50° = 130° .

similarly,

→ ∠P + ∠S = 180° { Adjacent angles on same side.}

→ ∠S + 130° = 180°

→ ∠S = 180° – 130° = 50° .

therefore,

→ Angle opposite Q = Angle S = 50°.

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