Angles Formed by Two Chords or Two Secants

If two chords intersect within a circle, then the measure of the angle formed is equal to half the ______ of the measures of the intercepted arcs.

• measures

• sum

• twice

• half

The measure of arc HJ = 110 degree and arc LJ = 150 degree, what is the measure of angle K?

In circle O, the measure of arc AB = 120 and measure of arc BC = 150. Find the measure of angle 2.

Quadrilateral LOVE is inscribed in the circle as shown. If the measure of angle V = 140 degree, what is the measure of arc ELO?

• 140⁰

• 80⁰

• 280⁰

• 40⁰

What is the measure of angle HKI?

• 72

• 73

• 74

• 75

What is the relationship between an angle formed by two chords and its intercepted arcs?

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

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

• The arc is half the angle.

• The arc is half the sum of the angles.

What is the relationship between an inscribed angle and its arc?

• The angle is half of the arc.

• The arc is half of the angle.

• They are congruent.

• The arc is smaller than the angle.

What is the measure of an angle formed by two chords?

• Half the sum of the measures of the intercepted arcs

• Equal to the measure of the smaller intercepted arc

• Equal to the measure of the larger intercepted arc

• Twice the sum of the measures of the intercepted arcs

What is an Inscribed angle?

• An angle formed by 2 chords and its vertex lies on the circle.

• An angle formed by two radii whose vertex is the center of the circle.

• An angle that measures 90 degrees

• An angle that intersects the circle at a tangent

What is the measure of arc PQR?

• 270 degrees

• 180 degrees

• 150 degrees

• 90 degrees