Question

Two angles are supplementary. All we know is that the smaller angle is 126 degrees fewer than the larger one. Find

the measure of the larger angle.

Answer 1

Larger angle= 153°

Smaller angle= 27°

Explanation:

Supplementary angles are two angles that add up to 180°

Let the smaller angle= x

Let the larger angle= y

X+y= 180... equation one

Y-126= x..... equation two

(Y-126) +y = 180

2y= 180+126

2y= 306

Y= 153°

Y-126= x.

153-126= x

27°=x