Question

Find the value of x.

Answer 1

x = 84°

Explanation:

A radius to the tangent point always forms a right angle with the tangent.

m∠OAB = m∠OCB = 90°

`m\angle AOC=\stackrel{\big{\frown}}{ADC}=96^o`

The sum of the angles in the quadrilateral is 360°, so:

x = 360° - 2•90° - 96° = 84°