Use the following image to answer the questions below. 

 

1.

If measure of arc AD = 40, and measure of arc BC = 100, what is the measure of angle BEC?

2.

If measure of arc AB = 60, and measure of arc CD = 40, what is the measure of angle BEC?

3.

If measure of arc AB = 50, and measure of angle AED = 90, what is the measure of arc BC?

4.

If the measure of arc AB = 90, and measure of arc BC = 120, and measure of angle DEC = 70, what is the measure of arc AD?

5.

If measure of angle BEC = 140, find the sum of the measures of arcs AB and DC.

6.

If measure of angle DEC is one third the measure of angle BEC, and measure of arc AD is one half the measure of arc BC, what is the measure of arc BC?

7.

Measures of arcs AB, BC, CD, and DA are in the ratio 4:5:6:5. What is the measure of angle AEB?

8.

If arcs AB, BC, CD, and DA all have the same measure, what is the measure of angle AEB?

9.

Arcs AD and BC are congruent, and arcs AB and DC are congruent. If the measure of arc AB is four times the measure of arc AD, what is the measure of angle AED?

10.

If the product of the measures of arcs AD and AB is one half the product of the measures of arcs BC and CD, what is the sum of the measures of arcs AB, BC, CD, and DA?