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

Answer:

Option B.

Step-by-step 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.

Answer 2

Answer:

98

Step-by-step explanation:

79x2

158+104=360

262=360

=98