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What is the measure of the arc labeled ?

What is the measure of the arc labeled ?-example-1

2 Answers

7 votes

Answer:

? = 130°

Explanation:

Minor arc VT is labeled ?. Let's call its measure x.

The measure of major arc VT is 360 - x

m<U = [(measure of major arc VT) - (measure minor arc VT))/2

50 = [(360 - x) - (x)]/2

50 = [360 - x - x]/2

100 = 360 - 2x

-2x = -260

x = 130

Answer: ? = 130°

User Christopherstyles
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4.2k points
3 votes

Answer:

The measure of the arc label is equal to the measure of the central angle that intercepts the arc.

User TheVillageIdiot
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4.8k points