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An angle measures (4x − 12)° and its complement measures (2x + 6)° . The measure of the larger angle is .......
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Complementary angles add to 90°, so
(4x − 12) + (2x + 6) = 90
6x − 6 = 90
6x = 96
x = 16.
The angles are 4(16) − 12 = 52° and 2(16) + 6 = 38°.
The larger angle measures 52°.
(4x − 12) + (2x + 6) = 90
6x − 6 = 90
6x = 96
x = 16.
The angles are 4(16) − 12 = 52° and 2(16) + 6 = 38°.
The larger angle measures 52°.
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