Question

2 angles are supplementary and one is 8 times the other. Find the larger angle

Answer 1

Step-by-step explanation:

let the two angles be x and y

here, x+y = 180 ---eq1 ...supplementary angles

x = 8y ---eq2

putting the value of x in eq 1,

8y + y = 180

9y = 180

y= 20

on putting the value of y in eq 2,,

x = 8 (20)

x = 160

Answer 2

Answer:

the larger angle will be 160°

Step-by-step explanation:

Let the smaller angle be x

then, the larger angle will be 8x

as we know in supplementary angle the sum of two angle is 180°

therefore, x + 8x = 180°

9x = 180°

x = 180/9

x = 20

here the smaller angle (x) is 20

therefore the larger angle will be 180-20 = 160

or 8x = 8 x 20 = 160°