Central and Inscribed Angles

What is the relationship between the measures of two inscribed angles that intercept the same arc?

• The measures of the two inscribed angles are equal.

• The measures of the two inscribed angles are complementary.

• The measures of the two inscribed angles are supplementary.

• The measures of the two inscribed angles are half of the intercepted arc.

If m∠AOB = 100 degrees, what is the measure of arc AB?

• 80 degrees

• 90 degrees

• 100 degrees

• 120 degrees

What is the sum of the measures of the angles in a triangle inscribed in a circle?

• 90 degrees

• 180 degrees

• 360 degrees

• 120 degrees

What is a central angle?

• An angle whose vertex is at the center of a circle and whose sides extend to the circumference.

• An angle formed by two lines intersecting outside a circle.

• An angle that measures more than 180 degrees.

• An angle whose vertex is on the circumference of a circle.

If m∠AOB = 120 degrees, what is the measure of angle ACB if it intercepts the same arc?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

What is the measure of an inscribed angle if the intercepted arc measures 90 degrees?

• 30 degrees

• 45 degrees

• 60 degrees

• 75 degrees

If the measure of arc XY is 150 degrees, what is the measure of the central angle XOY?

• 120 degrees

• 150 degrees

• 180 degrees

• 90 degrees

If the measure of arc CD is 200 degrees, what is the measure of the inscribed angle CED?

• 80 degrees

• 90 degrees

• 100 degrees

• 120 degrees

If the measure of arc AB is 80 degrees, what is the measure of the inscribed angle ACB?

• 20 degrees

• 30 degrees

• 40 degrees

• 50 degrees

What is an inscribed angle?

• An angle formed by two chords in a circle with a common endpoint, where the vertex is on the circle.

• An angle formed by two tangents to a circle.

• An angle formed by a radius and a tangent to a circle.

• An angle that measures exactly 90 degrees.