Question

O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?

Answer 1

56

Explanation:

We know that radius of a circle is perpendicular to the tangent of the circle at the point of contact.

`\therefore x\degree +90\degree +90\degree+124\degree =360\degree\\\therefore x\degree +304\degree =360\degree\\\therefore x\degree =360\degree-304\degree\\\huge\purple{\boxed{\therefore x\degree =56\degree}}`