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 lines?
Since the sum of the two angles is 180°, we can set up the equation:
(2x + 3) + (x - 6) = 180
Combining like terms:
3x - 3 = 180
Adding 3 to both sides:
3x = 183
Dividing both sides by 3:
x = 61
Therefore, the measure of the first angle is:
2x + 3 = 2(61) + 3 = 123 + 3 = 126°
And the measure of the second angle is:
x - 6 = 61 - 6 = 55°
So, the angles that make up the straight line are 126° and 55°.