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In parallelogram ABCD, angle A is greater than angle B by 10°\degree, then measure of angle D is

Solution

Correct Option: 3

In a parallelogram, adjacent angles are supplementary: A+B=180°\angle A + \angle B = 180\degree. Given A=B+10\angle A = \angle B + 10, so (B+10)+B=180(\angle B + 10) + \angle B = 180, giving B=85°\angle B = 85\degree. Since D=B\angle D = \angle B (opposite angles), D=85°\angle D = 85\degree.

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