Mathematics

If an angle is eight times its complementary angle, then the measurement of the angle is 


ANSWER

$$80^0$$


SOLUTION

Two angles are said to be complimentary angles if their sum is $$90^0$$.

Let $$x$$ denote the required angle. Then its complimentary angle is $$90-x$$. 

It is given that,  

$$x=8\times\left(90-x\right)$$

$$\implies \ x=720-8x$$

$$\implies 9x=720$$

$$\implies \ x=80^0$$


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