Question

find the value of b.
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(-9b + 134)° (7b + 50)°
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b =
for the following intersection, the measurements of the indicated angles are represented by the expressions ∠a=(x - 16)° and ∠c=(4x - 31)°. what are the numerical angle - measurements of ∠a and ∠c?
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Explanation:

Step1: Set up the equation

Since the two angles are supplementary (sum to 180°), we have the equation $(-9b + 134)+(7b + 50)=180$.

Step2: Combine like - terms

$(-9b+7b)+(134 + 50)=180$, which simplifies to $-2b+184 = 180$.

Step3: Isolate the variable term

Subtract 184 from both sides: $-2b=180 - 184$, so $-2b=-4$.

Step4: Solve for b

Divide both sides by - 2: $b=\frac{-4}{-2}=2$.

Answer:

$b = 2$