The sum of the two adjacent angles forming a straight line is 180°.
So, we have the equation: (2x+3) + (x-6) = 180
Combining like terms, we get: 3x - 3 = 180
Adding 3 to both sides gives: 3x = 183
Dividing by 3 gives: x = 61
Now we can find the measures of the angles:
Angle 1 = 2x + 3 = 2(61) + 3 = 122 + 3 = 125°
Angle 2 = x - 6 = 61 - 6 = 55°
Therefore, the measures of the two angles that make up the straight line are 125° and 55°.
So, the answer is: 125 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 129° and 51° 129 degrees and 51 degrees 186° and 88° 186 degrees and 88 degrees 125° and 55° 125 degrees and 55 degrees 121° and 59° 121 degrees and 59 degrees
1 answer