Exploring Inscribed Angles in Geometry

Where is the vertex of an inscribed angle located?

• On the circle

• Anywhere inside the circle

• At the center of the circle

• Outside the circle

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

• The angle is half the measure of the arc

• The angle is equal to the arc

• The angle is twice the measure of the arc

• There is no relationship

If the measure of arc DG is 45.6 degrees, what is the measure of angle E?

• 22.8 degrees

• 45.6 degrees

• 91.2 degrees

• 11.4 degrees

What is the measure of an angle inscribed in a semicircle?

• 360 degrees

• 45 degrees

• 90 degrees

• 180 degrees

If arc ABC is 184 degrees and arc BCD is 242 degrees, what is the measure of angle A?

• 59 degrees

• 88 degrees

• 121 degrees

• 92 degrees

If two inscribed angles intercept the same arc, how do their measures compare?

• They are unrelated

• They are congruent

• They are supplementary

• They are complementary

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

• 180 degrees

• 360 degrees

• 540 degrees

• 720 degrees

Opposite angles of an inscribed quadrilateral are supplementary. If one angle measures 110 degrees, what is the measure of its opposite angle?

• 70 degrees

• 110 degrees

• 180 degrees

• 220 degrees

What is the measure of an angle formed by a tangent and a chord, if its intercepted arc is 100 degrees?

• 25 degrees

• 100 degrees

• 200 degrees

• 50 degrees

If angle Z is formed by a tangent and a chord and its intercepted arc is 80 degrees, what is the measure of angle Z?

• 40 degrees

• 80 degrees

• 120 degrees

• 160 degrees