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)
A. 186° and 88°
B. 125° and 55°
C. 121° and 59°
D. 129° and 51°
To find the measures of the two angles that make up the straight line, we need to set up an equation. Since a straight line measures 180°, we have the equation:
(2x + 3)° + (x - 6)° = 180°
Combining like terms, we get:
3x - 3 = 180
Adding 3 to both sides, we get:
3x = 183
Dividing both sides by 3, we get:
x = 61
Substituting this value back into the expressions for the angles, we get:
The first angle = (2x + 3)° = (2(61) + 3)° = 125°
The second angle = (x - 6)° = (61 - 6)° = 55°
Therefore, the measures of the two angles are 125° and 55°.
So, the answer is:
B. 125° and 55°