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poizon [28]
3 years ago
11

Please help me understand the question

Mathematics
2 answers:
goblinko [34]3 years ago
8 0

The major arc DGF and the minor arc FD both make up the circle, so their measures should add to 360°.

(arc DGF) + 153° = 360°

arc DGF = 207°

asambeis [7]3 years ago
4 0

9514 1404 393

Answer:

  C.  207°

Step-by-step explanation:

Points D and F divide the circle into two arcs. The short arc is referred to by its end point: arc DF. The long arc has the same end points, so is referred to using a third point somewhere on the arc. That point is G.

Together, arcs DF and DGF make the complete circle, or 360°. The measure of long arc DGF can be found from that fact:

  DF +DGF = 360°

  153° +DGF = 360° . . . . substitute the given value for arc DF

  DGF = 360° - 153°

  arc DGF = 207°

_____

<em>Additional comment</em>

The tangents and external angle are completely irrelevant to the question asked by this problem.

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Answer:

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Step-by-step explanation:

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3 years ago
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Aleksandr [31]

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3 years ago
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vaieri [72.5K]
Okay, I think I understand.

Straight lines have a measure of 180°, so
52° + 59° + y = 180°
y = 69°

The measure of the inner angles of a polygon = (n - 2)180° where n is the number of sides. The shape is a triangle, so n = 3.
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6 0
3 years ago
Read 2 more answers
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