Answer:
50 degrees
Step-by-step explanation:
the sum of all angles in a four-sided shape is 360 degrees.
our four points here are :
the center of the circle
the 2 points on the circle, where the 2 tangents touch the circle
the intersection point of the tangents (where they cross each other).
at the 2 points, where radius meets tangent, we have a right angle or 90 degrees. so, they together take already 180 degrees.
the angle at the center of the circle is 130 degrees.
so, all that is left for the angle at the tangent intersection point is
360 - 180 - 130 = 50 degrees
