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Measures (in degrees) of two supplementary angles are consecutive odd integers. Find the angles.

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Measures (in degrees) of two supplementary angles are consecutive odd integers. Find the angles.

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Let two consecutive odd integers x, x + 2. It is given that both are supplementary angles. So, their sum will be 180°.

x + (x + 2) = 180°

2x = 180° - 2

2x = 178° = 178°/2

x = 89°

Hence, the two angles are 89° and 91°.

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