find the measure of the interior angle at b using the diagram below. draw

Question

Accepted Answer

# Explanation:
## Step1: Recall the triangle angle - sum theorem
The sum of the interior angles of a triangle is $180^{\circ}$. Let $\angle E = 69^{\circ}$, $\angle I=61^{\circ}$, and $\angle B$ be the unknown angle. Then $\angle E+\angle I+\angle B = 180^{\circ}$.
## Step2: Solve for $\angle B$
Substitute the values of $\angle E$ and $\angle I$ into the equation: $\angle B=180^{\circ}-\angle E - \angle I$.
$$
\begin{align*}
\angle B&=180^{\circ}-69^{\circ}-61^{\circ}\
&=(180-(69 + 61))^{\circ}\
&=(180 - 130)^{\circ}\
&=50^{\circ}
\end{align*}
$$

# Answer:
$50^{\circ}$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the triangle angle - sum theorem

Step2: Solve for \(\angle B\)

Answer: