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Find the measure of arc VF. (look at the picture provided) please help

Find the measure of arc VF. (look at the picture provided) please help-example-1
User Zoonman
by
3.0k points

1 Answer

30 votes
30 votes

Answer:

60degrees

Explanation:

Using the theorem that states that angle at the vertex is half the difference of the angles at the intercepted arcs

Angle at vertex can be gotten by taking the difference of 119 and 65

Angle at the vertex = 119 - 65

Angle at the vertex = 54

Hence;

54 = 1/2(168-VF)

Cross multiply

54 * 2 = 168-VF

108 = 168 - VF

VF = 168 - 108

VF = 60degrees

Hence the measure of arc VF is 60degrees

User Shimon Rachlenko
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2.7k points