Question

First picture(Q1) What is the length of segment DC?

Second picture(Q2)Given that triangle D E F is similar to triangle W X Y, what is x?
Third picture(Q3)Given the following: measure of arc A B equals measure of arc B C equals measure of arc C D.

In circle F, what is the measure of ∠ CED ?

Answer 1

3) arc AB=arc BC=arc CD = 36⁰
∠CED is incribed,
so m∠CED = (1/2)*CD =36/2 =18
m∠CED = 18⁰

2) |EF| / |XY| =|EG| /|XZ|
20/4 = (3x+2) / (x-3)
5 = (3x+2) / (x-3)
3x + 2 = 5(x-3)
3x +2 = 5x - 15
2x = 17
x= 8.5 cm