How to determine the measure of an arc from an inscribed angle

The video tutorial explains the concept of inscribed angles in geometry, focusing on how to measure arcs using these angles. It highlights the difference between central and inscribed angles, demonstrating that the measure of an arc is double the inscribed angle. The tutorial walks through the calculation of arc WTX, using given angles and properties of circles, and concludes with a final calculation to find the remaining arc measurement.

What are the components of an inscribed angle?

• A center and a radius

• Two endpoints and a vertex

• A tangent and a chord

• A diameter and a circumference

If an inscribed angle measures 57 degrees, what is the measure of the corresponding arc?

• 57 degrees

• 114 degrees

• 28.5 degrees

• 180 degrees

How does the measure of an inscribed angle relate to the measure of its arc?

• The angle is double the arc's measure

• The angle is unrelated to the arc's measure

• The angle is equal to the arc's measure

• The angle is half the arc's measure

What is the total degree measure of a circle?

• 180 degrees

• 270 degrees

• 90 degrees

• 360 degrees

If the diameter of a circle is a line from X to Y, what is the degree measure from X to Y?

• 90 degrees

• 180 degrees

• 45 degrees

• 360 degrees