Question

What is the measure of def 78° PLEASE HELP

Answer 1

Answer:

The measure of arc DEF is 204°

B is correct

Step-by-step explanation:

In a circle center at O.

∠DOF and ∠DEF are lie on same base but ∠DOF at center and ∠DEF on circle.

Thus, ∠DOF = 2 ∠DEF

minor ∠DOF = 2 x 78 = 156°

We need to find arc DEF.

DEF is central angle of major∠DOF

major∠DOF + minor ∠DOF = 360°     (Complete angle at center)

            major∠DOF  +  156° = 360°

                         major∠DOF = 204°

major∠DOF is arc DEF.

Hence, The measure of arc DEF is 204°