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)
O 186° and 88°
O 125° and 55°
O 129° and 51°
O 121° and 59°
To find the measures of the two angles, we need to set up an equation. Since the angles are adjacent and form a straight line, their measures add up to 180°.
So, we have the equation:
(2x + 3) + (x - 6) = 180
Simplifying the equation, we get:
3x - 3 = 180
Adding 3 to both sides, we have:
3x = 183
Dividing both sides by 3, we get:
x = 61
Now we substitute the value of x back into the expressions for the angles:
Angle 1 = (2x + 3) = (2 * 61 + 3) = 125°
Angle 2 = (x - 6) = (61 - 6) = 55°
Therefore, the measures of the two angles that make up the straight line are 125° and 55°.
The correct answer is O 125° and 55°.