Question

Help brainliest for correct answer

Answer 1

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.