Angles and Arcs with Intersecting Chords

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

• 150°

• 100°

• 210°

• 105°

What is the measure of ∠PTQ?

• 100°

• 140°

• 180°

• 120°

An angle is a(n) ______ if the vertex is on a circle and the sides of the angle are shords of the circle.

• right angle

• acute angle

• inscribed angle

• intercepted angle

Find the value of x.

• 15

• 13

• 3

• 6

∠ AED is formed inside a circle by two intersecting chords. If minor arc BD = 70° and minor arc CA = 180° , what is the measure of ∠ AED?

• 45°

• 50°

• 55°

• 60°

What is the formula to use when solving for arcs/angles in circles with intersecting chords?

In a circle, if a diameter bisects a chord (that is not a diameter), then:

• it is a secant

• it is parallel to the chord

• it is perpendicular to the chord

• it is just shaking out the sillies

Find the measure of the missing angle in degrees. (Hint: Overlapping Arcs and Inscribed Angles)

• 41

• 37

• 82

• 164

Find the measure of the missing angle in degrees. (Hint: Intersecting Chords)

• 79

• 57

• 22

• 83

Find the measure of the missing arc in degrees. (Hint: Intersecting Chords)

• 103

• 16

• 71

• 94