In parallelogram PQRS, angleQ = (4x - 5)º and
angleS = (3x + 10). Calculate : angleQ and angleR.
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Answer:
Step-by-step explanation:
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
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⇒ ∠Q+∠R=180
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⇒ 55
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+∠R=180
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∴ ∠R=125
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