Question

Find the measure of an which is 36 degree more than four- fifth of its supplement

Answer 1

let the angle be x
x+4/5*x+36 = 180
9x = 180-36
9x = 154
x = 17.11111111...........

Answer 2

Answer:

100°

Step-by-step explanation:

Let the angle be x

Supplement angles : A pair of angle whose sum is 180° is called Supplement angle

Supplement of x = 180-x

Now we are given that x is 36 degree more than four- fifth of its supplement

So, $x=36+\frac{4}{5}(180-x)$

$x=36+144-\frac{4x}{5}$

$x+\frac{4x}{5}=36+144$

$\frac{9x}{5}=180$

$9x=900$

$x=100$

Hence the angle is 100°