Question

if an angle is 4/5 of its supplement ,find the measure of the angle​

Answer 1

Step-by-step explanation:

let the angle be x

So, another angle is 4x/5

now ,we know that sum of supplementry angle is 180°

so, x + ( 4x /5) = 180

9x / 5 = 180

9x = 180× 5

9x = 900

x = 100

so ,the measure of first angle is 100°

and second is (4/5) × 100 = 80

Answer 2

Answer:

100

Step-by-step explanation:

let the supplement of the angle be 'x'

angle=4/5*x

=4x/5

supplementary angles add up to 180°

x+4x/5

5x+4x

----------- = 180°

5

9x

-------- = 180°

5

9x=180×5

9x=900

x=900/9

x= 100

Thus, the measure of the angle is 100°