Question

Two adjacent angles are on a straight line. One angle is (5x−28)° and the other angle is 8x°. What is the degree value of the second angle?(1 point)

Responses

128 degrees

120 degrees

52 degrees

16 degrees

Answer 1

128°

Explanation:

Adjacent angles on a straight line must add up to 180°

Using the angle measures given,

(5x−28)° + 8x° = 180°

5x - 28 + 8x = 180

13x - 28 = 180

13x = 180 + 28

13x = 208

x = 208/13 = 16

Therefore second angle = 8x° = 8(16)° = 128°