Solve Equations with Adjacent Angles Quick Check 1 of 51 of 5 Items 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 52° 52 degrees 16° 16 degrees 128°

Answer 1

To solve this problem, set up an equation using the fact that the sum of the measures of adjacent angles on a straight line is 180 degrees:

(5x - 28) + (8x) = 180

Combine like terms:

13x - 28 = 180

Add 28 to both sides:

13x = 208

Divide both sides by 13:

x = 16

Now substitute x = 16 into the expression for the second angle:

8x = 8(16) = 128

The measure of the second angle is 128 degrees.