Exploring Circle Geometry: Angles and Arcs

What is the measure of a central angle if its intercepted arc is 50 degrees?

• 25 degrees

• 50 degrees

• 75 degrees

• 100 degrees

If an inscribed angle measures 30 degrees, what is the measure of its intercepted arc?

• 30 degrees

• 60 degrees

• 15 degrees

• 120 degrees

What is the measure of the intercepted arc if a tangent chord angle measures 25 degrees?

• 25 degrees

• 50 degrees

• 75 degrees

• 100 degrees

For a secant secant angle, if one arc measures 110 degrees and the other 60 degrees, what is the angle measure?

• 25 degrees

• 50 degrees

• 75 degrees

• 100 degrees

If the measure of arc AC is 9x + 18 and arc DE is 5x + 10, and angle ABC is x^2 + 6, what is the measure of arc AC?

• 50 degrees

• 9 degrees

• 90 degrees

• 120 degrees

What is the measure of angle AFE in a chord chord angle scenario where arc AE is 130 degrees and arc BD is 70 degrees?

• 100 degrees

• 30 degrees

• 50 degrees

• 200 degrees

In a secant tangent angle scenario, if arc AC is 130 degrees and angle B is 30 degrees, what is the measure of arc DC?

• 30 degrees

• 100 degrees

• 60 degrees

• 70 degrees

If an angle formed by two intersecting chords is 55 degrees, and one of the intercepted arcs measures 70 degrees, what is the measure of the other arc?

• 70 degrees

• 25 degrees

• 55 degrees

• 40 degrees

For a tangent tangent angle, if the major arc measures 220 degrees, what is the measure of the angle?

• 140 degrees

• 20 degrees

• 40 degrees

• 70 degrees

In a scenario with a central angle of 40 degrees, what is the measure of the inscribed angle that shares the same intercepted arc?

• 20 degrees

• 40 degrees

• 60 degrees

• 80 degrees