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)

Answer 1

To find the measures of the two angles that make up the straight line, we can set up an equation:

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

Simplifying the equation, we get:

3x - 3 = 180

Adding 3 to both sides, we get:

3x = 183

Dividing by 3, we get:

x = 61

Now we can substitute x back into the expressions for the angles:

First angle = 2x+3 = 2(61)+3 = 123+3 = 126 degrees

Second angle = x-6 = 61-6 = 55 degrees

Therefore, the measures of the two angles that make up the straight line are 126 degrees and 55 degrees.