The measure of ∠VSU is 35 degrees
What is Inscribed angle?
In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle.
What is angle?
An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle
What is Arc?
An arc is a smooth curve joining two endpoints.
Given,
∠V, ∠U, ∠T and ∠S are inscribed angle
VST is the long arc and VUT is the short arc
Given,
Long arc VST = 220 degrees
Short arc VUT = 360 -220 = 140 degrees
The line US bisect the arc VUT
Arc VU = [tex]\frac{140}{2} =70[/tex] degrees
Inscribed angle VSU intercepts arc VU, so has half the measure of the arc
Therefore, ∠VSU = [tex]\frac{70}{2} =35[/tex] degrees
Hence, the measure of ∠VSU is 35 degrees
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