Respuesta :

Answer:

x=45

Step-by-step explanation:

First, this figure takes place half of the circle. So we are dealing with a semi circle.

Angle C is inscribed angle in the semi circle. A semi circle measure 180 degrees. Since Angle C is inscribed, It measures 90 degrees.

This theorem proves this

If an angle is inscribed in a semicircle, it will be half the measure of a semicircle (180 degrees), therefore measuring 90 degrees.

Solve for x

[tex]2x = 90[/tex]

[tex]x = 45[/tex]