Circle Geometry Angle Relationships

This video tutorial covers the topic of circle geometry, focusing on inscribed, central, and exterior angles. The instructor guides students through the process of calculating various angles using different geometric rules and principles. The lesson includes a detailed walkthrough of finding 10 specific angles in a circle, followed by a series of review problems to reinforce the concepts. The tutorial concludes with a summary of the key points covered in the lesson.

What is the measure of an inscribed angle if the intercepted arc is 80°?

• 40°

• 80°

• 20°

• 160°

If a central angle measures 20°, what is the measure of its corresponding arc?

• 20°

• 40°

• 180°

• 160°

How do you calculate an exterior angle when given two intercepted arcs of 100° and 50°?

• 100 / 2

• (100 - 50) / 2

• 50 / 2

• (100 + 50) / 2

What is the measure of an angle inscribed in a semicircle?

• 60°

• 45°

• 180°

• 90°

If an angle's vertex is on the circle and it intercepts an arc of 100°, what is the angle's measure?

• 100°

• 200°

• 50°

• 25°

What is the measure of a central angle if the arc is 135°?

• 67.5°

• 45°

• 270°

• 135°

In a circle, if one angle of a quadrilateral is 80°, what is the measure of its opposite angle?

• 90°

• 100°

• 80°

• 160°

How do you find the measure of an angle inside a circle but not at the center, given arcs of 160° and 50°?

• (160 + 50) / 2

• (160 - 50) / 2

• 50 / 2

• 160 / 2

What is the measure of an angle if its intercepted arc is 162°?

• 81°

• 162°

• 324°

• 41°

If an angle is inscribed and its intercepted arc is 38°, what is the angle's measure?

• 57°

• 76°

• 38°

• 19°