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?

Answer 1

The sum of two adjacent angles forming a straight line is 180°, so we can write:
(2x+3)° + (x-6)° = 180°
3x - 3 = 180
3x = 183
x = 61

So, the measure of the first angle is (2x + 3)° = (2*61 + 3)° = 125°.
The measure of the second angle is (x - 6)° = (61 - 6)° = 55°.

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