To solve this problem, we can set up an equation.
Since the two angles form a straight line, their measures add up to 180 degrees.
So we have the equation:
(2x+3) + (x-6) = 180
Combining like terms, we have:
3x - 3 = 180
Adding 3 to both sides, we have:
3x = 183
Dividing both sides by 3, we have:
x = 61
Now that we have the value of x, we can substitute it back into the expressions for the two angles to find their measures.
The first angle is:
2x+3 = 2(61) + 3 = 123 + 3 = 126 degrees
The second angle is:
x-6 = 61 - 6 = 55 degrees
Therefore, the measures of the two angles that make up the straight line are 126 degrees and 55 degrees.
So the correct answer is:
126 degrees and 55 degrees.
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 line?(1 point) Responses 186° and 88° 186 degrees and 88 degrees 129° and 51° 129 degrees and 51 degrees 121° and 59° 121 degrees and 59 degrees 125° and 55° 125 degrees and 55 degrees
1 answer