Based on the outside angles theorem, the value of x is: 42°
What is the Outrside Angles Theorem?
The outside angles theorem states that the measure of the angle that is formed outside a circle when two tangents or secants intersect is half the measure of the diffrence of the intercepted arcs.
Given the following:
- One arc measure = 222°
- The second arc measure = 360 - 222 = 138°
Therefore, based on the outside angles theorem, we would have the following:
x = 1/2(222 - 138)
x = 42°
Learn morea about outside angles theorem on:
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