Quiz on Angles Formed by Two Chords

What is a chord in the context of a circle?

• A line segment that is outside the circle

• A line that touches the circle at one point

• A line segment with both endpoints on the circle

• A line that passes through the center of the circle

According to the theorem, what is the measure of an angle formed by two intersecting chords?

• Equal to the difference of the intercepted arcs

• Twice the sum of the intercepted arcs

• Half the sum of the intercepted arcs

• Equal to the sum of the intercepted arcs

In Example 1, if the intercepted arcs are 71 and 129 degrees, what is the measure of angle X?

• 100 degrees

• 90 degrees

• 110 degrees

• 120 degrees

How is angle Y calculated in Example 1?

• By multiplying angle X by 2

• By adding 100 to angle X

• By subtracting angle X from 180 degrees

• By dividing angle X by 2

In Example 2, what is the first step to find the value of Y?

• Divide the intercepted arcs by 2

• Multiply the intercepted arcs

• Add the intercepted arcs and divide by 2

• Subtract the intercepted arcs

What is the measure of angle Y in Example 2?

• 70 degrees

• 63 degrees

• 80 degrees

• 90 degrees

In Example 3, what is the given angle measure?

• 40 degrees

• 52 degrees

• 60 degrees

• 28 degrees

How do you find the unknown arc measure in Example 3?

• By adding the given arc measure to the angle

• By subtracting the given arc measure from the angle

• By using the formula and solving for the unknown

• By dividing the angle by the given arc measure

In Example 4, what is the value of C?

• 123 degrees

• 100 degrees

• 109 degrees

• 95 degrees

What is the final value of X in Example 4?

• 95 degrees

• 100 degrees

• 109 degrees

• 123 degrees