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igomit [66]
3 years ago
11

If arc XV = 68° and ∠YUV = 36°, what is the measure of arc VY?

Mathematics
1 answer:
uysha [10]3 years ago
4 0
The complete question in the attached figure

we have
arc XV = 68°
∠YUV = 36° 

we know that
The measure of the external angle is the semidifference of the arcs that it covers.

therefore
∠YUV =[arc VY-arc XV]/2
arc VY=[2*∠YUV]+arc XV----------> [2*36]+68---------> 140°

the answer isthe measure of arc VY is 140°

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