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Question
Measures (in degrees) of two complementary angles are two consecutive even integers. Find the angles.
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Solution
Let one angle be 2x and the other angle be 2x + 2.
We know that the sum of the measures of the complementary angles is 90°.
According to the question,
2x + 2x + 2 = 90°
⇒ 4x = 90° – 2 = 88°
⇒ x = `88^circ/4` = 22°
∴ 2x = 2 × 22° = 44° and 2x + 2 = 44° + 2 = 46°
Thus, one angle is 44° and other is 46°.
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