Circles- Angles inside and outside

Front

What is the formula to find an angle outside the circle?

Back

(1/2)(arc - arc)

Front

What is the measure of angle HKI if it is given as 73 degrees?

Back

73 degrees

Front

How do you find the measure of an arc in a circle?

Back

The measure of an arc is the degree measure of the central angle that subtends the arc.

Front

What is the measure of arc WYZ if it is given as 231 degrees?

Back

231 degrees

Front

If the measure of angle 1 is 65 degrees, what can you infer about the angles in the circle?

Back

Angle 1 is likely an inscribed angle or related to other angles in the circle.

Front

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

Back

The measure of the angle formed 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 a central angle in relation to its intercepted arc?

Back

The measure of a central angle is equal to the measure of its intercepted arc.

Front

How do you find the measure of a missing angle in a circle?

Back

Use the relationships between angles and arcs, such as the inscribed angle theorem or the exterior angle theorem.

Front

What is the inscribed angle theorem?

Back

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

Front

If two arcs are given, how do you find the angle formed outside the circle?

Back

Use the formula (1/2)(arc1 - arc2).