High School

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Question 5 of 44 What is the measure of minor arc DF, given that DE and FE are tangent to QO? ○ A. 84° B. 168° ○ C. 96° ○ D. 264° D E 84° 0. 264° F​

Question 5 of 44 What is the measure of minor arc DF given that DE and FE are tangent to QO A 84 B 168

Answer :

Answer:

C

Step-by-step explanation:

The measure of the tangent- tangent angle DEF is half the difference of the measures of the intercepted arcs , that is

∠ DEF = [tex]\frac{1}{2}[/tex] ( major DF - minor DF ) ← substitute values

84° = [tex]\frac{1}{2}[/tex] (264 - DF ) ← multiply both sides by 2 to clear the fraction

168° = 264° - DF ( add DF to both sides )

DF + 168° = 264° ( subtract 168° from both sides )

DF = 96°

That is minor arc DF = 96°

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