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The two angles that make up the straight line have a total measure of 180°.
We can set up an equation:
(2x + 3) + (x - 6) = 180
Simplifying the equation:
3x - 3 = 180
Adding 3 to both sides of the equation:
3x = 183
Dividing both sides by 3:
x = 61
So, the measure of the first angle is:
2x + 3 = 2(61) + 3 = 122 + 3 = 125°
And the measure of the second angle is:
x - 6 = 61 - 6 = 55°
Therefore, the measures of the two angles that make up the straight line are 125° and 55°.