Question

If an angle is 8 times its complement, then find its measure. what are the steps to this question

Answer 1

Let the complement angle be x
Then, the required angle will be 8x
We know,,
Sum of complementary angles = 90°
Then,
x+8x = 90
9x = 90
x = 10
Then finally
Complement angle = 10°
Required angle = 8×10 = 80°

Answer 2

We know that the sum of complementary angles is 90°

××××××××××××××××××××

Let, x and 8x are required angles here,


So,


x + 8x = 90

9x = 90

x = 90/9

x = 10°


Then, required angle = 8(10)=80°


I hope this will help you


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