What is the measure of arc ef in circle h?

Solution:

From the figure,

Measure of arc DE = 73°

Measure of angle FED = 123°

We have to find the measure of arc EF.

By using Central Angle Theorem,

The measure of central angle by an arc is twice that of the angle made by the same arc at the circumference.

So, major arc DGF = 2(∠FED)

= 2(123°)

arc DGF = 246°

We know that the sum of all arcs on a circle is equal to 360°

Now, arc DGF + arc EF + arc DE = 360°

246° + arc EF + 73° = 360°

arc EF + 319° = 360°

arc EF = 360° - 319°

arc EF = 41°

Therefore, the measure of arc EF is 41°.

What is the measure of arc ef in circle h?

Summary:

The measure of arc EF in circle H is 41°.