Question

Among 2 supplementary angles, the measure of
the larger angle is 56° more than the measure
of the smaller angle. Find the measures of both
the angles.​

Answer 1

Answer:

62° and 118°

Step-by-step explanation:

The sum of the supplementary angles is 180°

Let the smaller angle be x

Therefore, larger angle = x + 56

So,

Larger angle + Smaller angle = 180

(x) + (x + 56) = 180°

2x + 56 = 180°

2x = 180 - 56

2x = 124

x = 62°

Therefore,

Smaller angle = x = 62°

Larger angle = x + 56 = 62 + 56 = 118°