Angle Addition in a Circle

Determine the measure of ∠NOP

• 15°

• 20°

• 40°

• 50°

Determine the measure of ∠UVS

• 19.5°

• 39°

• 78°

• 102°

Find m∠ EGF. EF is a diameter of the circle.

• 45°

• 60°

• 90°

• 100°

Quadrilateral ABCD is inscribed in the circle. Which sentence is true?

• A and B are supplementary

• A and C are supplementary

• m∠ A = m∠ B

• m∠ C = m∠ D

Quadrilateral ABCD is inscribed in the circle. If m∠ A = 95° , what also must be true?

• m∠B = 95°

• m∠C = 85°

• m∠D = 105°

• m∠D = 95°

Find the measure of arc NL

• 21°

• 42°

• 45°

• 84°

If arc AB = 70°, how many degrees are in ∠ ADB?

• 35°

• 50°

• 70°

• 110°

∠ 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°