Question

Find the value of x.

Answer 1

`x=129` °

Explanation:

A secant is a line that intersects a circle in two places. The secants interior angle theorem states that when two secants intersect a circle inside a circle, the measure of any one of the angles formed is equal to half of the sum of the two intersecting arcs. Therefore, one can apply this theorem here:

`x=(204+54)/(2)`

Simplify,

`x=(204+54)/(2)`

`x=(258)/(2)`

`x=129`