Question

Given: circle k(O)
m∠WVX = 51°
m arc WV = 135°
Find: m arc XV

Answer 1

123 degrees

Explanation:

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Answer 2

123°

Explanation:

The following property must be satisfied

m∠WVX = m arc WX / 2

m arc WX = 2*m∠WVX

m arc WX = 2*51°

m arc WX = 102°

The summation of the three arcs that compound the circle is equal to 360°

m arc WX + m arc XV + m arc WV = 360°

m arc XV = 360° - m arc WV - m arc WX

m arc XV = 360° - 135° - 102°

m arc XV = 123°