Finding Angle Measures and Arcs

The video tutorial explains how to calculate the measure of an angle formed by two arcs. It provides three examples, each demonstrating the process of finding the angle by subtracting the smaller arc from the larger arc and dividing the result by two. The third example includes an additional step to find an unknown arc using the total circle degrees.

What is the first step in finding the value of angle x?

• Divide the arcs by 2

• Find the difference between the two arcs

• Add the two arcs together

• Multiply the arcs

In Example A, what is the difference between the 72-degree arc and the 22-degree arc?

• 60 degrees

• 50 degrees

• 40 degrees

• 30 degrees

What is the final value of angle x in Example A?

• 35 degrees

• 30 degrees

• 25 degrees

• 20 degrees

In Example A, what operation is performed after finding the difference between the arcs?

• Subtraction

• Multiplication

• Addition

• Division by 2

In Example B, what is the difference between the 120-degree arc and the 32-degree arc?

• 88 degrees

• 68 degrees

• 78 degrees

• 58 degrees

What is the final value of angle x in Example B?

• 44 degrees

• 42 degrees

• 40 degrees

• 38 degrees

In Example B, what is the first step to find angle x?

• Add the arcs

• Subtract the arcs

• Divide the arcs

• Multiply the arcs

What additional step is introduced in Example C?

• Subtracting the arcs

• Finding the sum of arcs

• Calculating an unknown arc

• Multiplying the arcs

How do you find the unknown arc in Example C?

• By multiplying the known arcs

• By dividing the known arcs

• By subtracting the known arcs from 360 degrees

• By adding all known arcs

What is the value of the unknown arc y in Example C?

• 42 degrees

• 52 degrees

• 32 degrees

• 62 degrees