Question

Find the value of x.

Answer 1

Answer:

$x=129$ °

Step-by-step 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:

$x=\frac{204+54}{2}$

Simplify,

$x=\frac{204+54}{2}$

$x=\frac{258}{2}$

$x=129$