Answer:
x = 130°
Step-by-step explanation:
At the points of Tangency, A and B, the angle formed are equal to 90° based on the tangent theorem.
Therefore, m<A and m<B both have a degree measure of 90° each.
Thus, the sum of the interior angles of quadrilateral AOBC = 360° (sum of interior angles of a quadrilateral).
Therefore:
x + m<A + m<B + m<C = 360°
x + 90 + 90 + 50 = 360 (substitution)
x + 230 = 360
x = 360 - 230 (subtraction property of equality)
x = 130°
