a. Write an equation that would help you solve for the missing angle measures. Combine Like Terms! Remember the Triangle Sum Theorem.
b. Solve the equation to find the value of x. Show/Explain all of your steps using inverse operations!
(2 points)
a. The equation that would help solve for the missing angle measures can be written as:
x + x + 120 = 180
This equation is derived from the Triangle Sum Theorem, which states that the sum of the interior angles of a triangle is always 180 degrees.
b. Now, let's solve the equation to find the value of x:
2x + 120 = 180
Subtract 120 from both sides of the equation:
2x = 180 - 120
2x = 60
Divide both sides of the equation by 2:
x = 60/2
x = 30
Therefore, the value of x is 30.