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What is the measure of def 78° PLEASE HELP

What is the measure of def 78° PLEASE HELP-example-1

2 Answers

3 votes

Answer: 204 degrees

Explanation:

Just got it right on the quiz

User Cody Parker
by
7.0k points
4 votes

Answer:

The measure of arc DEF is 204°

B is correct

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°

What is the measure of def 78° PLEASE HELP-example-1
User David Steiman
by
6.4k points
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