Question

PQRS is a parallelogram in which angle S=(4x-3)degrees and angle Q= (2x+27)degrees. The value of x is​

Answer 1

Answer:

We know that, opposite angles of a parallelogram are equal.

∴ ∠Q=∠S

⇒ 4x−5=3x+10

⇒ 4x−3x=10+5

⇒ x=15

⇒ ∠Q=(4x−5)

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=(4×15−5)

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=55

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We know that, sum of adjacent angles of parallelogram is 180

o

⇒ ∠Q+∠R=180

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⇒ 55

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+∠R=180

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∴ ∠R=125

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Step-by-step explanation:

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