In □ABCD ,<A and < are adjacent angles. If <A =50° then find measure of < .
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Answer:
We know that sum of two adjacent angles of a parallelogram is 180
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∴ ∠A+∠B=180
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------ ( 1 )
It is given that ∠B is 50
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more than ∠A.
∴ ∠B=∠A+50
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------ ( 2 )
Now, substituting ( 2 ) in ( 1 ),, we get
⇒ ∠A+∠B=180
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⇒ ∠A+∠A+50
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=180
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⇒ 2∠A+50
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=180
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⇒ 2∠A=180
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−50
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⇒ 2∠A=130
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∴ ∠A=65
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⇒ ∠B=∠A+50
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=65
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+50
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=115
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In a parallelogram, the opposite angles are equal in magnitude.
∴ ∠A=∠C=65
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∴ ∠B=∠D=115
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all sides of square is 90 degree wrong question
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