Supplementary angles:
(2x + 3) (x-6)
a. Write an equation for these two supplementary angles. (1 point)
b. Explain how to solve for the value of x. (1 point)
c. Find the measurement of each angle. Make sure to list both. (2 points)
a. The equation for these two supplementary angles is:
(2x + 3) + (x-6) = 180
b. To solve for the value of x, we need to solve the equation for x.
Start by simplifying the equation:
2x + 3 + x - 6 = 180
Combine like terms:
3x - 3 = 180
Add 3 to both sides:
3x = 183
Divide both sides by 3:
x = 61
c. To find the measurement of each angle, substitute the value of x back into the given expressions:
First angle: 2x + 3 = 2(61) + 3 = 122 + 3 = 125 degrees
Second angle: x - 6 = 61 - 6 = 55 degrees
So, the measurement of the first angle is 125 degrees and the measurement of the second angle is 55 degrees.