Question 80

The supplement of an angle is $$15^\circ$$ more than three times its complement. The measure of the angle is:

Solution

Supplement of angle =180 -x  and complement of angle =90-x

$$180-x=3(90-x) +15$$

$$165-x=270-3x$$

$$-x +3x=270-165 $$

$$2x=105$$

$$X=\frac{105}{2}$$

$$X=52.5^\circ$$

Option B is correct.


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