in a parallelogram PQRS , <P=(5a-10°) , <Q=(2a+50°) . find all the angle of parallelogram
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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)
o
=(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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I hope it will help you.
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