Understanding Circle Angles and Arcs

What is the formula for the measure of an angle formed by two chords intersecting inside a circle?

• (x - y) / 2

• x + y

• (x + y) / 2

• x - y

If the arc measures are 85 and 57, what is the measure of the angle formed by the intersecting chords?

• 71.5

• 57

• 85

• 71

What operation is used in the formula for angles formed outside the circle?

• Subtraction

• Addition

• Division

• Multiplication

How do you find the measure of an arc if the total circle is 360° and one arc is 265°?

• Subtract 265 from 360

• Add 265 to 360

• Multiply 265 by 2

• Divide 265 by 2

What is the measure of angle two if the big arc is 95 and the small arc is 85?

• 5

• 10

• 85

• 95

Which formula is used for tangent-secant angles?

• Big Arc - Small Arc

• (x + y) / 2

• x + y

• (Big Arc - Small Arc) / 2

What is the value of x if the exterior angle is 38° and the arcs are 180 and x?

• 142

• 38

• 104

• 76

What should you do if your calculated angle or arc is negative?

• Ignore it

• Subtract 180

• Check your math

• Add 360

What is the formula for secant-secant angles?

• (Big Arc - Small Arc) / 2

• x + y

• (x + y) / 2

• Big Arc - Small Arc

What is the key concept to remember for angles outside the circle?

• Subtraction

• Division

• Addition

• Multiplication