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

Answer 1

The two angles are adjacent and on a straight line, so their measures add up to 180 degrees. Therefore, we can write 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

To find the measure of the second angle, we substitute the value of x into the expression (8x):

Second angle = 8(16) = 128°

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