The Difference Between Two Supplemetary Angles Is 50\Xb0. Find The Two Angles.

The difference between two supplemetary angles is 50°. Find the two angles.

 

Answer:

The supplementary angles measure 115° and 65°.

Step-by-step explanation:

First angle: x

Second angle: y

The difference between two supplementary angles is 5:

x - y = 50

y = x - 50  ⇒  the second angle in terms of x

Supplementary angles have a total measure of 180°.

Find x, the larger angle:

x + (x-50) = 180

2x - 50 = 180

2x = 180 + 50

2x/2 = 230/2

x = 115

Supplementary angles total is 180:

115 + 65 = 180

180 = 180  (True)

Find y, the second/smaller angle:

y = x - 50

y = 115 - 50

y = 65

The supplementary angles measure 115° and 65°.

Check:

The difference between two supplementary angles is 50°.

Larger angle - smaller angle = 50

115 - 65 =50

50 = 50  (True)