Question

Find the value of x.

Answer 1

x = 9

Explanation:

Triangle BCD is a right triangle, so the inscribed angle at C is the complement of the given angle:

angle C = 90° -45° = 45°

The measure of arc BE is twice that angle value, so we have ...

arc BE = 2·angle C

10x° = 2(45°)

x = 9 . . . . . . . . . divide by 10°