Question

What is the measure of arc EF in circle H? O 41° O 50° O 114 O 1730

Answer 1

Answer:

The measure of arc EF = 41°

Step-by-step explanation:

Given:

Arc DE = 73°

$\angle FED=123\°$

Now, we know from central angle theorem that the measure of central angle by an arc is twice that of the angle made by the same arc at the circumference. Therefore,

$\textrm{Major Arc DGF}=2\times \angle FED\\\textrm{Major Arc DGF}=2\times 123\\\textrm{Major Arc DGF}=246\°$

Now, we know that sum of all arcs on a circle is equal to 360°.

Therefore, arc DGF + arc DE + arc EF = 360°

$246+73+arc\ EF=360\\319+arc\ EF=360\\arc\ EF=360-319=41\°$

Therefore, the measure of the arc EF is 41°.

Answer 2

Answer:

41

Step-by-step explanation:

answer is 41