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To find the measures of the two angles that make up the straight line, you can set up an equation by adding the two angle measures and setting it equal to 180 degrees.
(2x+3) + (x-6) = 180
Combine like terms:
3x - 3 = 180
Add 3 to both sides:
3x = 183
Divide by 3:
x = 61
Now substitute x back into the original equations to find the angle measures:
First angle: (2x+3) = (2(61)+3) = 125 degrees
Second angle: (x-6) = (61-6) = 55 degrees
Therefore, the measures of the two angles that make up the straight line are 125 degrees and 55 degrees.