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3 years ago

7

•geometry• help please, Not sure.

2 answers:

Nadusha1986 [10]3 years ago

7 0

Arc EF is C) 110 degrees.
I hope this helps... let me know if it's correct if you can! ^-^

alexira [117]3 years ago

7 0

IF is a diameter. m<IDF = 180 deg.
<FDG measures 70 deg.
<IDG and <FDG are supplementary angles, so
<IDG measures 180 - 70 = 110.
Angles IDG and EDF are vertical angles, so they are congruent.
m<EDF = m<IDG = 110
A central angle has the same measure as the arc it intercepts,
so the measure of arc EF is 110 degrees.

Answer: The 3rd option.

Simpler solution:
Segment EG is also a diameter.
Angles EDF and FDG are supplementary, so angle EDF measures 110 deg.
Arc EF measures the same as its central angle, so the measure of arc EF is 110 deg.

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