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

Accepted Answer

# Explanation:
## Step1: Recall the triangle angle - sum theorem
The sum of the interior angles of a triangle is $180^{\circ}$. Let $\angle C = 73^{\circ}$, $\angle I=59^{\circ}$, and $\angle F$ be the unknown angle. Then, by the formula $\angle C+\angle I+\angle F = 180^{\circ}$.
## Step2: Solve for $\angle F$
Substitute the values of $\angle C$ and $\angle I$ into the equation: $\angle F=180^{\circ}-\angle C - \angle I$.
$$
\begin{align*}
\angle F&=180^{\circ}-73^{\circ}-59^{\circ}\
&=(180 - 73-59)^{\circ}\
&=(107 - 59)^{\circ}\
& = 48^{\circ}
\end{align*}
$$

# Answer:
$48^{\circ}$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the triangle angle - sum theorem

Step2: Solve for \(\angle F\)

Answer: