Two adjacent angles are on a straight line one angle has a measurement of 5X -28° and the other angle has a measurement of 8X what is the measurement of the second angle

Answer 1

Since the two adjacent angles are on a straight line, their sum must be equal to 180 degrees. Therefore, we can set up the following equation:

(5X - 28) + 8X = 180

Combining like terms, we get:

13X - 28 = 180

Adding 28 to both sides:

13X = 208

Dividing by 13:

X = 16

Now, we can substitute X back into the expression for the second angle:

8X = 8(16) = 128

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