Angle Measures Outside of Circle Two Tangents or Two Secants

What is the measure of the angle formed outside the circle by two tangents, two secants, or a secant and a tangent?

• Depends on the specific configuration of the lines

• Equal to the sum of the angles of a triangle

• Half the difference of the intercepted arcs.

• Always 90 degrees

What is the value of x?

• Cannot be determined

• x = 90 degrees

• x = 145 degrees

• x = 200 degrees

What is the value of x?

• Cannot be determined

• x = 32 degrees

• x = 44 degrees

• x = 120 degrees

If secants and/or tangents intersect on the exterior of a circle, the measure of the angle formed is equal to what?

• Equal to the difference of the intercepted arcs

• Half the difference of the intercepted arcs

• Twice the difference of the intercepted arcs

• One-fourth the difference of the intercepted arcs

If a tangent and a secant, two tangents, or two secants intersect in the exterior of a circle, then the measure of the angle formed is half the _____ of the measures of the intercepted arcs. (Theorem 7.6C)

• product

• result

• difference

• sum

Solve for x.

• 29

• 33

• 41.5

• 50

Solve for x.

• 29

• 33

• 41.5

• 50

PA and PB are tangents of length 15cm to the circle with centre O. If PRO is a straight line with PR = 9cm, calculate the radius of the circle.

4. 

• 123°

• 57°

• 132°

• 66°

Find the value of x.

• 45

• 10

• 20

• 90