Question

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 second angle?(1 point) Responses 16° 16 degrees 128° 128 degrees 52° 52 degrees 120° 120 degrees

Answer 1

To find the measure of the second angle, we know that the sum of the measures of two adjacent angles forming a straight line is 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, substitute x back into the expression for the second angle: 8x = 8(16) = 128

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

The correct response is: 128°