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7 votes
Please help!!!! Find the measure of the arc mEFD=

Please help!!!! Find the measure of the arc mEFD=-example-1

2 Answers

7 votes

Answer:

270°

Explanation:

User Constantin Guidon
by
4.4k points
14 votes

Answer:

m(arc EFD) = 270°

Explanation:

m(arc EFD) = m(arc EF) + m(arc FD)

Since, m(arc EF) = Angle subtended by the arc EF at the center

= 146°

m(arc DE) = 90°

And sum of all the angles subtended by the arcs at the center = 360°

m(arc EF) + m(arc FD) + m(arc DE) = 360°

146° + m(arc FD) + 90° = 360°

m(arc FD) = 360° - 236°

m(arc FD) = 124°

Therefore, m(arc EFD) = m(arc EF) + m(arc FD)

= 146 + 124

= 270°

User Jonathan Rich
by
5.1k points