Finding Angles Outside a Circle

Mr. Kenyon Ola explains how to find angles when two lines intersect outside a circle. The method involves subtracting the near arc from the far arc and dividing by two. Three examples are provided: calculating an angle, solving for an unknown arc, and solving for X using algebra. The video emphasizes the importance of using parentheses in algebraic expressions to avoid errors.

What is the main topic of the video tutorial?

• Finding angles outside a circle

• Finding angles inside a circle

• Calculating arc lengths

• Determining circle diameters

What is the key difference between finding angles inside and outside a circle?

• Both use division

• Inside uses subtraction, outside uses addition

• Inside uses addition, outside uses subtraction

• Both use multiplication

When two lines intersect outside a circle, what operation is used on the arcs?

• Addition

• Division

• Subtraction

• Multiplication

In the first example, what is the angle formed when the far arc is 115 and the near arc is 55?

• 30 degrees

• 60 degrees

• 45 degrees

• 90 degrees

What is the formula used to find the angle when two lines intersect outside a circle?

• Add the arcs and divide by two

• Multiply the arcs and divide by two

• Divide the arcs and multiply by two

• Subtract the arcs and divide by two

In the second example, what is the unknown arc measure if the angle is 35 degrees?

• 55 degrees

• 185 degrees

• 70 degrees

• 115 degrees

What is the first step in solving for an unknown arc measure?

• Multiply the known arc by the angle

• Subtract the angle from the known arc

• Add the known arc to the angle

• Divide the known arc by the angle

What should you do if you encounter a negative number while solving for an arc?

• Add it to the angle

• Ignore it

• Multiply it by two

• Use it as is, since two negatives make a positive

What is the purpose of cross-multiplying in the examples?

• To calculate the circumference

• To find the radius

• To simplify the equation

• To determine the diameter

In the second example, what operation is performed after cross-multiplying?

• Addition

• Subtraction

• Division

• Multiplication