two adjacent angles are on a straight line. one angle has a measure of (5x-28) degrees and the other angle has a measure of (8x) degrees. What is the measure of the second angle?

Answer 1

Since the angles are adjacent and on a straight line, their measures add up to 180 degrees.

Therefore, we have the equation:

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

Combining like terms:

13x - 28 = 180

Adding 28 to both sides of the equation:

13x = 208

Dividing both sides by 13:

x = 16

Substituting x = 16 back into the equation for the measure of the second angle:

8x = 8(16) = 128

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