Arc Measures and Angle Relationships

The video tutorial explores tangent chord angles in circles, focusing on the relationship between angles and arcs. It explains that the angle formed by a tangent and a chord is half the measure of the intercepted arc. The tutorial includes examples demonstrating how to find missing angles and solve for variables using these geometric properties.

What is the basic property of a tangent chord angle in a circle?

• The angle is half as big as the arc it opens up to.

• The angle is twice as big as the arc it opens up to.

• The angle is unrelated to the arc it opens up to.

• The angle is equal to the arc it opens up to.

What is the relationship between a tangent chord angle and the arc it opens up to?

• The angle is half the arc.

• The angle is unrelated to the arc.

• The angle is twice the arc.

• The angle is equal to the arc.

If a tangent chord angle is 80 degrees, what is the measure of the arc it opens up to?

• 40 degrees

• 200 degrees

• 160 degrees

• 80 degrees

In the example where the green angle is 80 degrees, what is the measure of the supplementary pink angle?

• 80 degrees

• 200 degrees

• 160 degrees

• 100 degrees

What is the measure of arc ADF if the angle opening up to it is 100 degrees?

• 50 degrees

• 200 degrees

• 100 degrees

• 150 degrees

What is the sum of the measures of the arcs in a full circle?

• 180 degrees

• 720 degrees

• 360 degrees

• 540 degrees

If an angle is supplementary to another angle of 80 degrees, what is its measure?

• 160 degrees

• 100 degrees

• 200 degrees

• 80 degrees

If the angle is 100 degrees, what is the measure of the arc it opens up to?

• 50 degrees

• 200 degrees

• 100 degrees

• 150 degrees

What is the sum of the measures of the arcs in a full circle?

• 720 degrees

• 180 degrees

• 360 degrees

• 540 degrees

If an angle is supplementary to another angle of 80 degrees, what is its measure?

• 100 degrees

• 80 degrees

• 200 degrees

• 160 degrees