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)
(4 points)
angel 1 is (2x+3) angel 2 is (x-6)
a. The equation for the two supplementary angles can be written as:
(2x + 3) + (x - 6) = 180
b. To solve for the value of x, we can simplify the equation by combining like terms:
3x - 3 = 180
Next, we isolate the variable by adding 3 to both sides of the equation:
3x = 183
Finally, we solve for x by dividing both sides of the equation by 3:
x = 61
c. To find the measurement of each angle, we substitute the value of x back into the expressions for the angles.
Angle 1:
2x + 3 = 2(61) + 3 = 125 degrees
Angle 2:
x - 6 = 61 - 6 = 55 degrees
So, Angle 1 measures 125 degrees, and Angle 2 measures 55 degrees.