Question

Use the drop-down menus to complete the statements

about the diagram.
The measure of AB is
The measure of ZBOC is
The measure of ADC is
1100

Answer 1

Explanation:

AB is 110

BOC is 36

ADC is 214

Answer 2

Part 1) arc AB=110°

Part 2) m∠BOC=36°

Part 3) arc ADC=214°

Explanation:

we know that

Central angle is the angle that has its vertex in the center of the circumference and the sides are radii of it.

Part 1) Find the measure of arc AB

we know that

The measurement of the arc AB is that of the central angle AOB

m∠AOB=arc AB -----> by central angle

we have

m∠AOB=110°

therefore

arc AB=110°

Part 2) Find the measure of angle BOC

we know that

The measurement of the arc BC is that of the central angle BOC

m∠BOC=arc BC -----> by central angle

we have

arc BC=36°

therefore

m∠BOC=36°

Part 3) Find the measure of arc ADC

we know that

arc ADC+arc BC+arc AB=360° ------> by complete circle

we have

arc BC=36°

arc AB=110°

substitute

arc ADC+36°+110°=360°

arc ADC+146°=360°

arc ADC=360°-146°=214°