Assuming that both lines drawn to the circle are tangents.......two radii drawn to the points of tangency will form two right angles.......and the central angle intersecting this minor arc will = x°
So......this will form a quadrilateral ......and the interior angles of a quadrilateral sum to 360°....so we have
[ 90 + 90 + x + x ] = 360
180 + 2x = 360 subtract 180 from both sides
2x = 180 divide both sides by 2
x = 90°