A 180 degree angle 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 angle that make up a straight line?
129 & 51
121 & 59
186 & 88
125 & 55
In a straight line, the sum of the measures of the two adjacent angles is 180 degrees.
Let's set up an equation to represent this information:
(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, plug the value of x back into the expressions for the angles:
Angle 1 = 2x + 3 = 2(61) + 3 = 122 + 3 = 125
Angle 2 = x - 6 = 61 - 6 = 55
Therefore, the two angles that make up a straight line have measures of 125 and 55 degrees. The answer is 125 & 55.