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)
The sum of two adjacent angles forming a straight line is 180°.
So, the sum of (2x + 3) ° and (x - 6) ° is equal to 180°.
(2x + 3) + (x - 6) = 180
Simplifying, we combine like terms:
3x - 3 = 180
Adding 3 to both sides:
3x = 183
Dividing both sides by 3:
x = 61
Now we can substitute the value of x back into the expressions for the angles:
First angle: (2x + 3) ° = (2*61 + 3) ° = 125°
Second angle: (x - 6) ° = (61 - 6) ° = 55°
So, the measures of the two angles that make up the straight line are 125° and 55°.