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 120° 120 degrees 16° 16 degrees 52° 52 degrees 128°

Answer 1

To find the measure of the second angle, we can set up an equation since the two angles are supplementary (add up to 180 degrees) as they are on a straight line.

(5x-28) + (8x) = 180
13x - 28 = 180
13x = 208
x = 16

Now we can find the measure of the second angle:
8x = 8 * 16 = 128 degrees

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