# Question #e3694

##### 1 Answer

Oct 19, 2017

see explanation.

#### Explanation:

a) given that

b) recall that from the tangent-chord theorem, the angle between a tangent and a chord that meet on a circle, is equal to the inscribed angle on the opposite side of the chord,

c) recall that the angle subtended by an arc at the center of a circle is twice the angle subtended by the same arc at the circumference,

d) recall that the sum of the interior angles of a quadrilateral is