Understanding Inscribed Angles and Intercepted Arcs

What is an inscribed angle?

• An angle formed by two radii

• An angle formed by two chords with a common endpoint

• An angle formed by a tangent and a chord

• An angle formed by two tangents

Which of the following is NOT a characteristic of an inscribed angle?

• It is formed by two chords

• The angle is equal to the central angle

• The intercepted arc is twice the angle

• The vertex is on the circle

How can you determine if angle LKM is an inscribed angle?

• Confirm the angle is at the center of the circle

• Verify if the angle is formed by two radii

• Ensure the angle is 90 degrees

• Check if both endpoints of the chords lie on the circle

If an inscribed angle measures 40 degrees, what is the measure of its intercepted arc?

• 160 degrees

• 80 degrees

• 40 degrees

• 20 degrees

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

• The angle is half the arc

• The angle is twice the arc

• The angle is unrelated to the arc

• The angle is equal to the arc

In a triangle, if two angles are 49 and 70 degrees, what is the third angle?

• 61.5 degrees

• 71 degrees

• 61 degrees

• 70.5 degrees

How do you find the measure of an arc if the inscribed angle is 35 degrees?

• Subtract 10 degrees from the angle

• Add 90 degrees to the angle

• Divide the angle by 2

• Multiply the angle by 2

If arc FG is 70 degrees, what is the measure of the inscribed angle that intercepts it?

• 105 degrees

• 35 degrees

• 140 degrees

• 70 degrees

What is the measure of arc QR if the inscribed angle is 95 degrees?

• 95 degrees

• 190 degrees

• 47.5 degrees

• 285 degrees

If the total of all arcs in a circle is 360 degrees, and two arcs measure 140 and 98 degrees, what is the measure of the third arc?

• 98 degrees

• 140 degrees

• 222 degrees

• 122 degrees