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

Answer 1

Since a straight line has a measure of 180°, the sum of the two adjacent angles must add up to 180°.

So, we can set up the following equation:

(2x+3)° + (x-6)° = 180°

Now, let's simplify the equation:

2x + 3 + x - 6 = 180

Combine like terms:

3x - 3 = 180

Add 3 to both sides of the equation:

3x = 183

Divide both sides of the equation by 3:

x = 61

Now that we have found the value of x, we can substitute it back into the expressions for the measures of the angles:

First angle: (2x+3)°
= (2(61)+3)°
= (122+3)°
= 125°

Second angle: (x-6)°
= (61-6)°
= 55°

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