Exterior and Interior Angles Problems

The video tutorial explains how to calculate interior and exterior angles in circles. It covers the method of using arcs to find these angles, providing step-by-step instructions and examples. For exterior angles, the larger arc is subtracted from the smaller arc and divided by two. For interior angles, the arcs are added and divided by two. The tutorial includes examples to illustrate these calculations and concludes with a summary and extra credit instructions.

What is the first step in finding an angle outside a circle?

• Subtract the smaller arc from the larger arc

• Multiply the arcs

• Divide the arcs by two

• Add the arcs together

What is the formula for finding an exterior angle in a circle?

• Larger arc plus smaller arc divided by two

• Larger arc minus smaller arc divided by two

• Larger arc times smaller arc

• Larger arc divided by smaller arc

If the larger arc is 80° and the smaller arc is 40°, what is the measure of the exterior angle?

• 20°

• 40°

• 80°

• 60°

In the first example, what is the result after dividing the difference of the arcs by two?

• 30°

• 40°

• 20°

• 10°

In the second example, what is the measure of the smaller arc if the larger arc is 140° and the exterior angle is 40°?

• 120°

• 80°

• 100°

• 60°

What is the measure of the exterior angle if the larger arc is 140° and the smaller arc is 60°?

• 40°

• 50°

• 30°

• 60°

What is the result of subtracting 37 from the larger arc in the third example?

• 25

• 50

• 37

• 87

In the third example, what is the value of X if the angle is 25°?

• 37°

• 50°

• 100°

• 87°

How do you find an interior angle in a circle?

• Subtract the arcs

• Add the arcs and divide by two

• Multiply the arcs

• Divide the arcs by four

What is the formula for finding an interior angle in a circle?

• Larger arc minus smaller arc divided by two

• Larger arc divided by smaller arc

• Larger arc plus smaller arc divided by two

• Larger arc times smaller arc