Use the diagrams below to solve the problems.

Questions 1 - 6 refer to the diagram below.

Questions 7 - 12 refer to the diagram below.

Questions 13 - 18 refer to the diagram below.

 

1.

If the measure of arc BC is 20 degrees, and the measure of arc DE is 60, what is the measure of angle A?

2.

If the measure of arc BC is 30 degrees, and the measure of angle A is 10 degrees, what is the measure of arc DE?

3.

If the measure of arc BD is 150 degrees, the measure of arc CE is 120 degrees, and the measure of angle A is 20 degrees, what is the measure of arc DE?

4.

If the measure of arc BC = 15 degrees, measure of arc BD = 150 degrees, and measure of arc CE = 100, what is the measure of angle A?

5.

Arcs BD, DE, EC, and CB are in the ratio 10:8:5:1. What is the measure of angle A?

6.

The measure of arc DE is 100 more than the measure of arc BC. What is the measure of angle A?

7.

Arc DC has measure 150 degrees, and arc BD has measure 140 degrees. What is the measure of angle A?

8.

Arc DC has measure 100 degrees, and the measure of angle A is 30 degrees. What is the measure of arc BD?

9.

If the measure of arc DC is twice the measure of arc BC, and the measure of arc BD is the same as the measure of angle A, what is the measure of angle A?

10.

The measure of arc DCB is 240 degrees, and the measure of angle A is 20 degrees. What is the measure of arc DC?

11.

The measures of arc BD, DC, and CB are in the ratio 10:12:8. What is the measure of angle A?

12.

The measure of arc DC is three times the measure of arc BC. If the measure of arc BD is 160 degrees, what is the measure of angle A?

13.

The measure of major arc BC is 240 degrees. What is the measure of angle A?

14.

The measure of minor arc BC is 80 degrees. What is the measure of angle A?

15.

The measure of angle A is 30 degrees. What is the measure of major arc BC?

16.

The measure of major arc BC is 20 more than the measure of minor arc BC. What is the measure of angle A?

17.

Major and minor arcs BC are in the ratio 2:3. What is the measure of angle A?

18.

The measure of angle A is one third the measure of major arc BC. What is the measure of arc BC?