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Q.

An angle is equal to five times its complement. Its measure is ____.


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Detailed Solution

 Concept- The angle equal to five times its complement is 75.
Try to recall what complementary angles are first. Assuming two angles to be x and y, create two equations between them using the information provided, and solve them to determine the measures of the two angles.
Complementary Angles: Two angles are said to be complementary when their sum is 90 degrees. To put it another way, two angles are said to be complementary if they combine to make a right angle. Thus, two angles might be said to complement one another. Let xo be the given angle
The complement is 90−x.
x = 5(90−x)
6x = 450
x = 75
Hence, the measure of the given angle is 75.
 
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