431,465 views
10 votes
10 votes
Please help me understand the question

Please help me understand the question-example-1
User Akira Matsuda
by
2.3k points

2 Answers

28 votes
28 votes

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°

User MkHun
by
3.2k points
24 votes
24 votes

9514 1404 393

Answer:

C. 207°

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°

_____

Additional comment

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

User Amie
by
2.9k points