The measure of arc UV is 24° .
What is arc?
An “arc” is a smooth curve joining two endpoints. In general, an arc is one of the portions of a circle. It is basically a part of the circumference of a circle. Arc is a part of a curve.
According to the question
The Triangle formed inside the triangle
with angles 90° , 36° , ∠W
As sum of angle of triangle
99° + 36° + ∠W = 180°
∠W = 180° - 99° - 36°
∠W = 45°
Now,
According to the relation
∠W = [tex]\frac{1}{2}[/tex](arc SP - arc UV)
As
Arc SP = 94° + 20°
= 114°
so ,
45° = [tex]\frac{1}{2}[/tex]( 114° - arc UV)
90° = 114° - arc UV
arc UV = 114° - 90°
= 24°
Hence, the measure of arc UV is 24° .
To know more about arc here:
https://brainly.com/question/18741430
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