Question

Circle V is shown. Line segments Y V and W V are radii. Tangents Y X and W X intersect at point X outside of the circle. The length of V Y is 5. Angle V is a right angle.
What is the measure of circumscribed ∠X?

45°
50°
90°
95°

Answer 1

90°

Reason: The angle formed by two tangents equals 180° minus the measure of the intercepted arc. The central angle Y V W = 90°, so the arc YW = 90°, and the angle at X is 180° − 90° = 90°.