Angles in a Circle

Front

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

Back

40°

Front

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

Back

84°

Front

In a quadrilateral ABCD inscribed in a circle, if m∠ A = 95°, what must also be true about m∠ C?

Back

m∠ C = 85°

Front

Determine the measure of ∠ NOP if the arcs involved are known.

Back

20°

Front

Determine the measure of ∠ UVS if the arcs involved are known.

Back

39°

Front

What is the relationship between the angles formed by two intersecting chords in a circle?

Back

The measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Front

What is the measure of an angle formed by two secants intersecting outside a circle?

Back

The measure of the angle is equal to half the difference of the measures of the intercepted arcs.

Front

Define a minor arc in a circle.

Back

A minor arc is an arc that is smaller than a semicircle, measured by the central angle that subtends it.

Front

What is the inscribed angle theorem?

Back

The inscribed angle is half the measure of the intercepted arc.

Front

If two angles are inscribed in a circle and intercept the same arc, what can be said about those angles?

Back

The angles are congruent.