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.
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)
1 answer
1 answer