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in Lines and Angles by (49.9k points)
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Measures (in degrees) of two complementary angles are two consecutive even integers. Find the angles.

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Best answer

Let the two consecutive angles be x and x + 2. Since, both angles are complementary. So, their sum will be 90°.

x + (x + 2) = 90°

x + x + 2= 90°

2x = 90° - 2

2x = 88°

x = 44°

Therefore, the angles are 44° and 44° + 2 = 46°.

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