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)
To find the measures of the two angles that make up a straight line, we need to set up an equation where the sum of the angles equals 180°.
Given:
Angle 1 = (2x+3)°
Angle 2 = (x-6)°
Sum of the angles = Angle 1 + Angle 2
So, we have (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 substitute the value of x back into the expressions for Angle 1 and Angle 2:
Angle 1 = (2x+3)° = (2*61 + 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°.