A 180 angle is formed by two adjacent angles.One Angle has a measure of (2x+3) the other has a measure of (x-6) What are the measures of the two angles that make the straight line ?

Answer 1

To form a straight line, the sum of the two adjacent angles should be equal to 180 degrees.

Let's set up an equation.

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

Combine like terms:

3x - 3 = 180

Add 3 to both sides:

3x = 183

Divide both sides by 3:

x = 61

Now we can substitute the value of x back into the expressions for the two 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 the straight line are 125 degrees and 55 degrees.