Answer:
36.5
Explanation:
According to the Tangent Chord Angle Theorem, the measure of an angle formed by a tangent and a chord is half the measure of the intercepted arc. We know the intercepted arc, VYX, is 282. The measure of the angle formed is (4x - 5). This means that we divide 282 by two to equal 4x - 5.
282/2 = 4x - 5
141 = 4x - 5
x = 36.5