Question

An angle is one fourth of its compliment . find the measure of both angles

Please I need the working on the paper for better understanding thank you

Answer 1

Answer:

The angle is 18 and its compliment is 72.

Solution:

Let us assume the angle is x and y is the compliment.

x + y =90x+y=90 …………………. (i)

Again, the angle is one fourth of its compliment,

x = \frac{1}{4}\times yx=

4

1

×y

4x = y4x=y …………… (ii)

Substituting value of (ii) in (i) we get,

(x +4x) =90(x+4x)=90

5x = 905x=90

x = 18x=18

So, the angle is 18 and compliment is 72