A 180° straight line is formed by 2 adjacent angles. One angle has a measure of 2X plus 3. The other has a measure of X −6. What are the measures of the two angles that make up the straight line

1 answer

Since the angles are adjacent and add up to a straight line (180°), we can set up the equation:
(2X + 3) + (X - 6) = 180
Combining like terms, we get:
3X - 3 = 180
Adding 3 to both sides, we get:
3X = 183
Dividing both sides by 3, we get:
X = 61
Now we can find the measures of the two angles:
First angle: 2X + 3 = 2(61) + 3 = 123 + 3 = 126
Second angle: X - 6 = 61 - 6 = 55
Therefore, the two angles that make up the straight line are 126° and 55°.