Question

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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the measures of the two angles that make up the straight line, we can set up the equation:

(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

Now we can substitute the value of x back into the expressions for the angles:

First angle: (2(61) + 3)° = 125°
Second angle: (61 - 6)° = 55°

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