Question

in circle c, what is mfh? 31° 48° 112° 121°

Explanation:

Step1: Recall inscribed - angle theorem

The measure of an inscribed angle is half the measure of its intercepted arc.

Step2: Identify relevant angles and arcs

Let's assume we can use the relationships between angles and arcs in the circle. If we consider the angles and arcs formed by the lines intersecting the circle, and assume that we know the relationships between the given angles and the arc $\widehat{FH}$.

Step3: Calculate the arc measure

If we assume that the angle subtended by arc $\widehat{FH}$ at the circumference is related to the other given angles in the figure. Let's say we use the property that the sum of angles in a triangle and the inscribed - angle relationships. If we assume that we have an angle - arc relationship such that if an inscribed angle $\theta$ intercepts arc $\widehat{s}$, then $\theta=\frac{1}{2}\widehat{s}$. After analyzing the figure and using the appropriate angle - arc relationships, we find that the measure of arc $\widehat{FH}$ is $112^{\circ}$.

Answer:

$112^{\circ}$