Question

find the measure of ∠a given the measure of ∠b = 49° in the figure below. ∠a = 141
suggested tutorial: learn it: solve a geometry application using a linear equation in one variable.
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Explanation:

Step1: Identify angle - relationship

$\angle a$ and $\angle b$ are supplementary angles, so $\angle a+\angle b = 180^{\circ}$.

Step2: Solve for $\angle a$

$\angle a=180^{\circ}-\angle b$.
Substitute $\angle b = 49^{\circ}$ into the equation: $\angle a=180 - 49$.
$\angle a = 131^{\circ}$.

Answer:

$131$