Question

answer it if you can​

Answer 1

Step-by-step explanation:

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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