Two adjacent angles 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 secon

Answer 1

To find the measure of the second angle, we set the sum of the two angles equal to 180 degrees since they are on a straight line.

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

Combining like terms, we get:

13x - 28 = 180

Adding 28 to both sides, we get:

13x = 208

Dividing both sides by 13, we get:

x = 16

Substituting this value back into the expression for the second angle, we get:

8x = 8(16) = 128

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