The measure of an angle if it is 85 less than 6 times its own complement is 65 degrees
Complementary angles
Two angles are known to be complementary if the sum of the angles is 90degrees.
Let one of the angles be x
The complement will be. 90 - x
If the measure of an angle if it is 85 less than 6 times its own complement, hence;
x = 6(90 - x) - 85
Expand
x= 540 - 6x - 85
x+ 6x = 540 - 85
7x = 455
x = 65
Hence the measure of an angle if it is 85 less than 6 times its own complement is 65 degrees
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