Central and Inscribed Angles and Arcs

Find the measure of arc AB.

• 17 degrees

• 34 degrees

• 68 degrees

• 146 degrees

Solve for x

• 51 degrees

• 61 degrees

• 102 degrees

• 204 degrees

Solve for the missing angle.

• 45^o

• 90^o

• 22.5^o

• 128^o

• A
• B
• C
• D

Match the following

• If a quadrilateral is inscribed in a circle, then its opposite angles add up to 180⁰

• Vertical Angles Theorem

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

• Arc Additional Postulate

• Angles that are opposite each other and formed by two intersecting straight lines, are congruent.

• Inscribed Quadrilateral Theorem

• The measure of an arc formed by two adjacent arcs is the sum of the measure of the two arcs.

• Inscribed Angle Theorem

• The endpoints of a diameter lie on an inscribed angle if & only if they inscribed angle is 90⁰

• Inscribed Angle of a Diameter Theorem

In the diagram, quadrilateral PQRS is inscribed in circle O. Match each statement with the correct value.

Solve for x. 

• 5

• 20

• 40

• 85

Find the measure of the indicated angle.

• 42

• 51

• 36

• 45

Determine if the angle is a central angle, inscribed angle or neither.
$\angle\ ACB$

• central angle

• inscribed angle

• neither

• central angle

• inscribed angle

• neither