Question

Circle G is inscribed with triangle E F D. Point C is on the circle between points E and F. Angle E is 79 degrees. The measure of arc E D is 104 degrees. What is the measure of arc ECF in circle G? 52° 98° 158° 177°

Answer 1

98

Explanation:

79x2

158+104=360

262=360

=98

Answer 2

Option B.

Explanation:

Given information: Circle G is inscribed with triangle EFD, arcED=104°.

We need to find the measure of arc ECF.

Draw a diagram by the given information.

`Arc(ED)=104^(\circ)` (Given)

`Arc(FD)=2(\angle E)=2(79)=158^(\circ)` (Central angle theorem)

`Arc(ECF)=360-Arc(ED)-Arc(FD)`

`Arc(ECF)=360-104-158`

`Arc(ECF)=98^(\circ)`

The measure of arc EDF is 98°.

Therefore, the correct option is B.