Question

Two supplementary angles are such that four times the measure of one is equal to five times the measure of the other. find the measures of the angles​

Answer 1

Answer:

the angles are 100 and 80

Step-by-step explanation:

let the supplementary angles be x and y

x + y = 180

4x = 5y

= x = $\frac{5y}{4\\}$

so, 5y/4 + y = 180

y = 80 (by solving the above equation)

therefore x = 180 - 80 = 100

Answer 2

Let the angle be =x

According to the question-

4x=180

X=180/4

X= 45°