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!
a. The equation that would help solve for the missing angle measures is:
180 = 3x + 40 + 5x
b. Let's solve the equation step by step:
Start with the equation: 180 = 3x + 40 + 5x
Start by combining like terms: 180 = 8x + 40
Subtract 40 from both sides of the equation: 180 - 40 = 8x + 40 - 40
Simplify: 140 = 8x
Divide both sides of the equation by 8 to isolate x: 140/8 = 8x/8
Simplify: 17.5 = x
Therefore, the value of x is 17.5.