Angles Intersecting Chords in a Circle

Find the measure of arc NL

• 21°

• 42°

• 45°

• 84°

Tags

CCSS.HSG.C.A.2

∠ ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132° , what is the measure of ∠ ABD?

• 30°

• 36°

• 42°

• 48°

Tags

CCSS.HSG.C.A.2

∠ ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132°, what is the measure of ∠ ABD?

• 12.5°

• 40°

• 45°

• 52.5°

Tags

CCSS.HSG.C.A.2

∠ ACE is formed by two secants intersecting outside of a circle. If minor arc BD = 28° , minor arc AB = 112° , and minor arc DE = 112° , what is the measure of ∠ ACE?

• 14°

• 28°

• 40°

• 54°

Tags

CCSS.HSG.C.A.2

If arc XV = 68° and ∠ YUV = 36° , what is the measure of arc VY?

• 120°

• 130°

• 140°

• 150°

Tags

CCSS.HSG.C.A.2

If arc XV = 70° and ∠ YUV = 43°, what is the measure of arc YX?

• 134°

• 140°

• 146°

• 150°

Tags

CCSS.HSG.C.A.2

If major arc AC = 236°, what is the measure of ∠ ABC?

• 56°

• 60°

• 64°

• 68°

Tags

CCSS.HSG.C.A.2

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

Tags

CCSS.HSG.C.A.2

In a circle (or congruent circles), the measure of an arc is:

• equal to twice the measure of its corresponding inscribed angle

• equal to the measure of its corresponding inscribed angle

• equal to half of the measure of its corresponding inscribed angle

• equal to four cups of wheat flour

Tags

CCSS.HSG.C.B.5

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