Question

two angle are such that one angle is 4/5 of its supplement . find the measure of angle

Answer 1

Hey mate

Here is Ur ans
Let one angle be x
and another angle according to question is 4/5*x

so
x+(4/5)x=180°
5x+4x÷5=180
9x=180*5

9x=900
x=100
so one angle be 100
and 2nd angle be 4/5*100
so 2nd angle be =80°----------Ans

Hope it helps u
ße ßrainly...

Answer 2

$\text {Your answer :- }$

$supplement \: angle = 180 \\ let \: one \: angle = x \\ second \: angle = \frac{4}{5} x \\ \\ = > x + \frac{4}{5} x = 180 \\ \\ = > \frac{5x + 4x}{5} = 180 \\ \\ = > \frac{9x}{5} = 180 \\ \\ = > x = 180 \times \frac{5}{9} \\ \\ = > x = 100 \\ \\ first \: angle = x = 100 \\ second \: angle = \frac{4}{5} x = \frac{4}{5} \times 100 = 80$

Hence, the angles are $\textbf {100°}$ and $\textbf {80° }$

$\text{ Thanks!!}$