Given the labeled diagram at the left. Find X.

Answer:
x = 55°
Step-by-step explanation:
Measure of central angle is equal to the measure of the corresponding minor arc
Therefore, m(central angle) = 70°
Since, radii of same circle are equal
Therefore, measure of the angles opposite to them are also equal.
So, by interior angle sum postulate of a triangle:
x + x + 70° = 180°
2x = 180° - 70°
2x = 110°
x = 110°/2
x = 55°