Solve Equations with Adjacent Angles Quick Check 4 of 54 of 5 Items Question A 180° angle (straight line) is formed by two adjacent angles. One angle has a measure of (2x+3)° and the other has a measure of (x−6)° . What are the measures of the two angles that make up the straight line?(1 point) Responses 125° and 55° 125 degrees and 55 degrees 129° and 51° 129 degrees and 51 degrees 121° and 59° 121 degrees and 59 degrees 186° and 88°

Answer 1

To find the measures of the two angles that make up the straight line, you can set up an equation by adding the two angle measures and setting it equal to 180 degrees.

(2x+3) + (x-6) = 180

Combine like terms:

3x - 3 = 180

Add 3 to both sides:

3x = 183

Divide by 3:

x = 61

Now substitute x back into the original equations to find the angle measures:

First angle: (2x+3) = (2(61)+3) = 125 degrees
Second angle: (x-6) = (61-6) = 55 degrees

Therefore, the measures of the two angles that make up the straight line are 125 degrees and 55 degrees.