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Komok [63]
3 years ago
15

Find the measure of the arc or angle indicated. NO LINKS.​

Mathematics
2 answers:
Advocard [28]3 years ago
5 0

9514 1404 393

Answer:

  10.  A) 120°

  11.  D) 40°

  12.  D) 54°

  13.  A) 101°

Step-by-step explanation:

The applicable rules of angles and arcs are ...

  • the whole is the sum of the parts
  • arcs of a circle total 360°
  • an inscribed angle intercepts an arc of twice its measure

__

10) Angles C and L intercept the same arc (DE) so will have the same measure.

  15x = 16x -4

  4 = x . . . . . . . . add 4-15x

  arc DE = 2(15x) = 30(4) = 120 . . . degrees

__

11) Arc VW is twice the measure of angle X, so ...

  9x +8 = 2(5x)

  8 = x . . . . . . . . . subtract 9x

  ∠VXW = 5x = 5(8) = 40 . . . degrees

__

12) Arc EFG is twice the measure of angle W, so ...

  70° +FG = 2(88°)

  FG = 106° . . . . . . . . . subtract 70°

Arc FGW is twice the measure of angle E, so ...

  106° +GW = 2(80°)

  GW = 54° . . . . . . . . . . subtract 106°

__

13) Arc ST is twice the measure of angle R. The sum of arcs is 360°.

  RS +ST +TR = 360°

  119° +2(70°) +TR = 360°

  TR = 101° . . . . . . . . subtract 259°

anyanavicka [17]3 years ago
5 0

Answer:

10. A) 120° 11. D) 40° 12. D) 54° 13. A) 101°

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