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Two angles are supplementary angles.One angle is 32° larger than the other.Find the measures of both angles​

Sagot :

Answer:

The first angle measures 74° while the second angle measures 106°.

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Step-by-step explanation:

Supplementary angles are two consecutive angles whose sum is 180°.

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Solve for the first angle.

x + (x + 32) = 180

x + x + 32 = 180

2x + 32 = 180

2x = 180 - 32

2x = 148

2x ÷ 2 = 148 ÷ 2

x = 74

The first angle measures 74°.

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Solve for the second angle.

x + 32 = 74 + 32 = 106

The second angle measures 106°.

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Make sure that the angles are supplementary.

74° + 106° = 180°

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