Answer:
14 degrees.
Step-by-step explanation:
I am assuming that the 56 degree angle is at the centre of the circle.
The angle at the top in the circle = 1/2 * 56 = 28 degrees.
The reflex angle = 360 - 56 = 304 degrees.
If we draw a line from the vertex of the 56 degrees angle to the vertex of 28 degree angle we bisect the reflex angle and the 28 degree angle. Also the 2 triangles formed are congruent ( by SSS).
So x = 180 - 1/2 * 28 - 1/2 * 304
= 180 - 14 - 152
= 180 - 166
= 14 degrees.
