Circles- Angles inside and outside

What is the relationship between the angles formed by two secants intersecting inside a circle?

• The angle is equal to half the sum of the measures of the intercepted arcs.

• The angle is equal to the sum of the measures of the intercepted arcs.

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

• The angle is equal to the average of the measures of the intercepted arcs.

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

• 210 degrees

• 225 degrees

• 231 degrees

• 240 degrees

What is the measure of angle 2 if it is formed by two secants intersecting outside the circle?

• Angle 2 = (1/2)(arc1 + arc2)

• Angle 2 = (1/2)(arc1 - arc2)

• Angle 2 = arc1 - arc2

• Angle 2 = (1/2)(arc1 * arc2)

What is the sum of the measures of angles around a point?

• 180 degrees

• 360 degrees

• 90 degrees

• 270 degrees

What is the inscribed angle theorem?

• The inscribed angle is equal to the measure of the intercepted arc.

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

• The inscribed angle is twice the measure of the intercepted arc.

• The inscribed angle is the same as the central angle.

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

• The measure of an arc is the length of the arc divided by the radius of the circle.

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

• The measure of an arc is always equal to 180 degrees.

• The measure of an arc is the sum of the lengths of the two radii that form the arc.

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

• 70 degrees

• 73 degrees

• 75 degrees

• 80 degrees

What is the measure of an angle formed by a tangent and a chord?

• The angle is equal to half the measure of the intercepted arc.

• The angle is equal to the measure of the tangent line.

• The angle is equal to the sum of the measures of the chord.

• The angle is equal to the measure of the secant line.

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

• 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.

• The measure of the angle formed is equal to the sum of the measures of the arcs intercepted by the angle.

• The measure of the angle formed is equal to the difference of the measures of the arcs intercepted by the angle and its vertical angle.

• The measure of the angle formed is equal to the average of the measures of the arcs intercepted by the angle and its vertical angle.

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

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

• Angle 1 is a central angle measuring 130 degrees.

• Angle 1 has no relation to the other angles in the circle.

• Angle 1 is equal to the sum of the other angles in the circle.