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? A 45 B 50 C 90 D95

Answer 1

Correct answer is C

Answer 2

The correct option is;

C 90°

Explanation:

Here we have;

Angle V = 90°

Whereby, YX and WX are tangents, and YV and WV are radii then ;

Angle Y = 90° and

Angle W = 90°

Therefore we have sum of angles V, Y, W and X given by the following relation;

V + Y + W + X = 360° (Sum of interior angles of a polygon angle)

Therefore;

90° + 90° + 90° + X = 360°

270° + X = 360

X = 360° - 270° = 90°

Hence the correct option is X = 90°.