Learn how to determine the measure of an arc given congruent chords

The video tutorial explains the concept of equal chords in a circle and their corresponding arc measures. It highlights that when two chords are equal, their arc measures are also equal. The tutorial further explains that the sum of all central angles and arc measures in a circle is 360 degrees. An equation is set up to solve for an unknown angle X, demonstrating the process of combining like terms and solving linear equations.

What can be inferred about the arc measures if two chords in a circle are equal?

• The arc measures are different.

• The arc measures are double.

• The arc measures are half of each other.

• The arc measures are equal.

What is the total sum of all central angles in a circle?

• 270 degrees

• 360 degrees

• 180 degrees

• 450 degrees

Which equation represents the sum of the arc measures in the given problem?

• X + X + 114 = 180

• X + X + 114 = 270

• X + X + 114 = 360

• X + X + 114 = 450

What is the first step in solving the equation X + X + 114 = 360?

• Divide by 2

• Multiply by 2

• Subtract 114

• Add 114

What is the value of X after solving the equation?

• 123 degrees

• 114 degrees

• 360 degrees

• 246 degrees