Question

Given that ABCDEFGH is a regular octagon and CDJK is a square find X which is the measure of angle CBK. Drawing is below.

Answer 1

In an octagon, the sum of the measures of the angles is (n - 2)180 = 6(180) = 1080
Each angle measures 1080/8 = 135
The octagon's side is congruent to all sides of the square, so BC = CK = y
That means triangle BCK is isosceles, and angles CBK and CKB are congruent.
Also, angle DCK is right angle and m<BCD = 135, so m<BCK = 135

Answer 2

Okay, so would angle x = 22.5?

Answer 3

right

Answer 4

Thank you so much!

Answer 5

wlcm