a. Write an equation for these two supplementary angles.(2x +3 & x - 6) (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 can be written as:
(2x + 3) + (x - 6) = 180
b. To solve for the value of x in the equation, you can follow these steps:
1. Combine like terms on the left side of the equation.
2x + 3 + x - 6 = 180
3x - 3 = 180
2. Add 3 to both sides of the equation to isolate the x-term.
3x = 183
3. Divide both sides of the equation by 3 to solve for x.
x = 61
c. To find the measurement of each angle, substitute the value of x (61) back into the expressions:
Angle 1: 2x + 3
= 2(61) + 3
= 122 + 3
= 125 degrees
Angle 2: x - 6
= 61 - 6
= 55 degrees
Therefore, Angle 1 measures 125 degrees and Angle 2 measures 55 degrees.