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)

Question

Responses

125° and 55°
125 degrees and 55 degrees

121° and 59°
121 degrees and 59 degrees

129° and 51°
129 degrees and 51 degrees

186° and 88°

Answer 1

The two angles that make up the straight line can be found by setting the sum of the two angles equal to 180°.

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

Combining like terms:
3x - 3 = 180

Adding 3 to both sides:
3x = 183

Dividing both sides by 3:
x = 61

Substituting 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°. Answer: 125° and 55°