Question

Find the angle which is equal to one-eight of its supplement

Answer 1

let 'x' be the supplement.
from question,
Angle = 1/8 × x = x/8
but Angle + x = 180 --- (1)
=> (x/8) + x = 180
=> 9x/8 = 180
=> 9x = 1440
=> x = 1440/9
=> x = 160
putting x = 160 in (1)
Angle + 160 = 180
=> Angle = 180 - 160
=> Angle = 20
hence the angle is 20 degrees

Answer 2

Answer:

Step-by-step explanation

Represent the angle by.x

X+1/8x=180

The L.C.M =8

So you multiply the L.C.M which is 8 by all the terms

8×x+8×1/8x=180×8

8x+x=1440

9x=1440

X=160