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The larger of two supplementary angles is 28° more than the smaller one. The smaller angle (in degree) is:
Question

The larger of two supplementary angles is 28° more than the smaller one. The smaller angle (in degree) is:

A.

76°

B.

79°

C.

80°

D.

84°

Correct option is A

Given:

The two angles are supplementary, meaning their sum is 180°

The larger angle is 28° more than the smaller one.

Solution:

Let the smaller angle be x

The larger angle is x + 28

Since the angles are supplementary, their sum is 180°:

x + (x + 28) = 180:

2x + 28 = 180

2x = 152

x = 76

Thus, the smaller angle is 76

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