Angles about a Circle Review

Front

What is the measure of ∠ BEC formed inside a circle by intersecting chords if minor arc BD = 94° and minor arc CA = 166°?

Back

50°

Front

How do you find the measure of ∠ ACE formed by two secants intersecting outside of a circle with minor arc BD = 28°, minor arc AB = 112°, and minor arc DE = 112°?

Back

40°

Front

What is the measure of ∠ AED formed inside a circle by two intersecting chords if minor arc BD = 70° and minor arc CA = 180°?

Back

55°

Front

How do you calculate the measure of ∠ ABD formed by a tangent and a secant intersecting outside of a circle with minor arc AC = 72° and minor arc CD = 132°?

Back

40°

Front

If arc AB = 70°, what is the measure of ∠ ADB?

Back

35°

Front

Define the relationship between the measure of an angle formed by two intersecting chords and the measures of the arcs intercepted by the angle.

Back

The measure of the angle is half the sum of the measures of the intercepted arcs.

Front

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

Back

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

Front

Explain how to find the measure of an angle formed by a tangent and a secant intersecting outside a circle.

Back

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

Front

What is the measure of an angle formed by two intersecting chords if the arcs are 70° and 180°?

Back

The angle measure is 125° (half the sum of the arcs).

Front

If two chords intersect inside a circle, how do you find the measure of the angle formed?

Back

Use the formula: angle = 1/2 (arc1 + arc2).