Question

The sum of opposite angles of Parallelogram is 160. find the measure of its angle.​

Answer 1

Step-by-step explanation:

Let ABCD is a parallelogram.

Let ∠A+∠C=160

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We know that, opposite angles of parallelogram are equal

∴ ∠A+∠A=160

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⇒ 2∠A=160

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⇒ ∠A=80

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⇒ ∠A+∠D=180

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[ Sum of adjacent angles are 180

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in parallelogram ]

⇒ 80

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+∠D=180

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⇒ ∠D=100

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∴ ∠D=∠B=100

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[Opposite angles of parallelogram are equal ]

Answer 2

Answer:

80°

Step-by-step explanation:

because opposite angles of Parallelogram are equal then sum of both number must be 2x of original angle hence 160 is double of 80 so 80° is answer