Math, asked by NandaniRaghuwanshi, 4 months ago

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Answers

Answered by kpalsingh2013
0

Answer:

Angles of Parallelogram

The opposite interior angles are equal. The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees. Hence, the sum of the interior angles of a parallelogram is 360 degrees

Answered by pragatimamnani6699
3

Answer:

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Step-by-step explanation:

Let ∠A and ∠B are two adjacent angles.

But we know that sum of adjacent angles of a parallelogram is 180

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∠A+∠B=180

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Given that adjacent angles of a parallelogram are in the ratio 4:5 and let that ratio be multiple of x

∠A+∠B=180

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4x+5x=180

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9x=180

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x=180/9

x=20

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∠A=4x=4×20=80

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∠B=5x=5×20=100

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Also ∠B+∠C=180

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[Since ∠B and

∠C are adjacent angles]

100

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+∠C=180

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∠C=180

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−100

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=80

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Now, ∠C+∠D=180

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[Since ∠C and

∠D are adjacent angles]

80

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+∠D=180

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∠D=180

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−80

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=100

o

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