find the measure of the interior angle at a using the diagram below.

Question

Accepted Answer

# Explanation:
## Step1: Recall the triangle angle - sum theorem
The sum of the interior angles of a triangle is $180^{\circ}$. Let $\angle I = 80^{\circ}$, $\angle B=49^{\circ}$, and $\angle A$ be the unknown angle. Then $\angle I+\angle B + \angle A=180^{\circ}$.
## Step2: Solve for $\angle A$
Substitute the known values into the equation: $\angle A=180^{\circ}-\angle I - \angle B$.
$$
\begin{align*}
\angle A&=180^{\circ}-80^{\circ}-49^{\circ}\
&=(180 - 80-49)^{\circ}\
&=(100 - 49)^{\circ}\
&=51^{\circ}
\end{align*}
$$

# Answer:
$51^{\circ}$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the triangle angle - sum theorem

Step2: Solve for \(\angle A\)

Answer: