Question

Angle & segment relationship

Area & Arc Length

Answer 1

x = 81.5°

Explanation:

the secant- tangent angle x is half the difference of the measures of the intercepted arcs.

the sum of the arcs in a circle = 360°, then

unknown intercepted arc = 360° - (215 + 93)° = 360° - 308° = 52°

then

x =
`(1)/(2)` (215 - 52)° =
`(1)/(2)` × 163° = 81.5°