Two adjacent angles are on a straight line. One angle has a measure of and the other angle has a

Question

measure of . What is the measure of the second angle? (1 point)
(5x − 28) °
(8x) °
16°
52°
120°
128°

Answer 1

Let's call the first angle x°. Since the angles are adjacent and on a straight line, the sum of their measures is 180°.

Therefore, x° + (5x - 28)° = 180°.

Combining like terms, we get 6x - 28° = 180°.

Adding 28° to both sides, we have 6x = 208°.

Dividing both sides by 6, we find x = 34°.

Therefore, the second angle is (5x - 28)° = (5(34) - 28)° = 162° - 28° = 134°.

The measure of the second angle is 134°.