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PtichkaEL [24]
3 years ago
15

HELP ASAP GEOMETRY 10th

Mathematics
1 answer:
kiruha [24]3 years ago
5 0

Answer:

m<FEG = 23°

m<FEH = 113°

Step-by-step explanation:

A diameter is always 180° to it's corresponding arc.

The circumference or full arc of a circle is 360°.

If EG is a diameter, Arc EG is 180°.

Given that Arc EF = 134°, and Arc EG = 180°.

Arc EF + Arc EG + Arc FG = 360°.

134° + 180° + Arc FG = 360°

314° + Arc FG = 360°

–314° –314°

Arc FG = 360° – 314° = 46°

The angle formed by the two chords that make the arc is ½ the measure of that Arc.

Meaning that m<feg which is the angle formed by arc FG is ½ 46° which means that m<feg = 23°.

Given that segment EH is tangent to point E.

The rule of a segment and a tangent is that the angle formed is also ½ the measure of the arc.

This means that m<FEH = ½(Arc FG + Arc EG)

m<FEH = ½(46° + 180°) = ½(226°) = 113°

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