marieasalmon44 marieasalmon44

14-03-2018
Mathematics

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

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calculista calculista

24-03-2018

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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