An angle is equal to 8 times its complement. Determine its measure.
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Let the one angle be x.
Then the other angle will be 8x.
We know that the sum of complementary angles is 90°.
Therefore,
x + 8x = 90°
9x = 90°
x = 10.
And, 8x = 8 X 10 = 80°.
Hence, the angle which is equal to 8 times of its complement is 80°.
Then the other angle will be 8x.
We know that the sum of complementary angles is 90°.
Therefore,
x + 8x = 90°
9x = 90°
x = 10.
And, 8x = 8 X 10 = 80°.
Hence, the angle which is equal to 8 times of its complement is 80°.
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