Answered

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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?

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 class=

Sagot :

sqdancefan

9514 1404 393

Answer:

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

Step-by-step 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

__

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

  arc EF = 145°

__

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°

__

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°

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