Angles in and Outside of Circles

Determine the measure of ∠NOP

• 15°

• 20°

• 40°

• 50°

∠ 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°

∠ 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°

∠ 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°

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

• 120°

• 130°

• 140°

• 150°

If arc VY = 132° and ∠ YUV = 41° , what is the measure of arc XV?

• 35°

• 40°

• 45°

• 50°

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

• 134°

• 140°

• 146°

• 150°

If minor arc AC = 96° , what is the measure of ∠ ABC?

• 53°

• 64°

• 72°

• 84°

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

• 56°

• 60°

• 64°

• 68°

If arc SQ = 92° and arc QR = 86° , what is the measure of ∠ RPS?

• 30°

• 35°

• 40°

• 45°