Question

If the measure of a tangent-chord angle is 68°, then what is the measure of the intercepted arc inside the angle?

Answer 1

113°,

Explanation:

1. tangent - chord angle is 68°,

Answer 2

112°

Explanation:

1/2(248 - 112) = 68

2 equations with 2 unknowns

x = intercepted arc, y = rest of the circle

x + y = 360

1/2 (y - x) = 68

1/2 ((360 - x) - x) =68

360 - 2x = 136

224 = 2x

112 = x