Two adjacent are on a straight line. One angle has a measure of (5x-28) and the other angle has a measure of (8x) what is the measure of the second angle

1 answer

The sum of the measures of two adjacent angles on a straight line is 180 degrees. So we can set up the equation:

(5x-28) + (8x) = 180

Combining like terms:

13x - 28 = 180

Adding 28 to both sides:

13x = 208

Dividing both sides by 13:

x = 16

Substituting x back into the second angle's measure:

8x = 8(16) = 128

Therefore, the measure of the second angle is 128 degrees.