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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.