How to determine the angle of an inscribed angle of a tangent and secant line

The video tutorial explains how to calculate the measure of an angle on a circle using the inscribed angle formula. It demonstrates the process of finding the arc measure by subtracting from 360 degrees and then using secant and tangent lines to determine the angle measure as half of the arc. The tutorial concludes with a recap of the formulas discussed.

What is the formula for calculating the measure of an inscribed angle?

• The measure of the angle is the same as the arc's complement.

• The measure of the angle is equal to its arc.

• The measure of the angle is twice its arc.

• The measure of the angle is half of its arc.

How do you determine the measure of an arc if the total circle measure is 360 degrees and a part of it measures 228 degrees?

• Add 228 to 360.

• Subtract 228 from 360.

• Multiply 228 by 2.

• Divide 228 by 2.

If an angle is formed by a secant and a tangent line, how is its measure related to its arc?

• The angle is the complement of the arc.

• The angle is equal to the arc.

• The angle is half of the arc.

• The angle is twice the arc.

What is the measure of angle six if its arc measures 132 degrees?

• 132 degrees

• 81 degrees

• 66 degrees

• 264 degrees

Which of the following is true about angles formed by secant and tangent lines?

• They are always the complement of the arc.

• They are always equal to the arc.

• They are always half of the arc.

• They are always twice the arc.