2 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 second angle

Answer 1

Since the angles are adjacent and on a straight line, they add up to 180 degrees. Thus, we have the equation:
(5X - 28) + 8X = 180
Combining like terms, we get:
13X - 28 = 180
Adding 28 to both sides, we have:
13X = 208
Finally, dividing both sides by 13, we get:
X = 16
Substituting this value back into the expression for the second angle, we have:
8X = 8(16) = 128
Therefore, the measure of the second angle is 128 degrees.