Inscribed Angles and Arcs

The video tutorial covers inscribed angles and intercepted arcs, explaining their properties and how to calculate angle and arc measures. It includes problem-solving exercises, exploring both basic and advanced scenarios. The tutorial also discusses inscribed polygons and right triangles, providing practice problems to reinforce learning.

What is an inscribed angle?

• An angle formed by two tangents.

• An angle formed by two chords in a circle that share an endpoint.

• An angle formed by a tangent and a chord.

• An angle formed by two radii of a circle.

What is the intercepted arc?

• The arc that is half of the inscribed angle.

• The arc that is equal to the inscribed angle.

• The arc that lies in the interior of an inscribed angle.

• The arc that lies outside of an inscribed angle.

If an inscribed angle measures 20 degrees, what is the measure of its intercepted arc?

• 10 degrees

• 20 degrees

• 40 degrees

• 60 degrees

How do you find the measure of an inscribed angle if you know the arc measure?

• Subtract 10 from the arc measure.

• Multiply the arc measure by 2.

• Divide the arc measure by 2.

• Add 10 to the arc measure.

What is the measure of angle A if the arc is 84 degrees?

• 42 degrees

• 84 degrees

• 21 degrees

• 168 degrees

If the arcs around a circle add up to 360 degrees, what is the measure of an arc if two other arcs measure 70 and 120 degrees?

• 190 degrees

• 180 degrees

• 200 degrees

• 170 degrees

What is the measure of angle G if the arc is 170 degrees?

• 100 degrees

• 95 degrees

• 90 degrees

• 85 degrees

If a diameter divides a circle, what is the sum of the arcs on either side?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

What is the measure of angle N if the arc is 20 degrees?

• 20 degrees

• 15 degrees

• 10 degrees

• 5 degrees

If an inscribed angle measures 67 degrees, what is the measure of the intercepted arc?

• 67 degrees

• 268 degrees

• 134 degrees

• 201 degrees