Question

4 part question help me pls 100 points

In the diagram, if x =17, what is M In the diagram
if x =35, what is the measure of Arc FE?
If x = 35 what is the measure of Arc EGI?
If the measure of Arc GH = 38, what is the measure of Arc EI?

Answer 1

9514 1404 393

Answer:

1. there is no M in the diagram
2. 145°
3. 325°
4. 104°

Explanation:

EG and IF are assumed to be diameters of the circle. The measures of the two arcs created by a diameter are 180°.

1. There is no M

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2. arc EF = arc EG -arc FG = 180° -35°

arc EF = 145°

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3. Angle EDI is a vertical angle to angle FDG, so has the same measure: 35°. Long arc EGI will be 360° minus the measure arc EI

arc EGI = 360° -arc EI = 360° -35°

arc EGI = 325°

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4. Arc Gi is double the measure of arc GH, so is 38°×2 = 76°. Arc EI is the supplement to this:

arc EI = 180° -arc GI = 180° -76°

arc EI = 104°