Central Angles, Inscribed Angles and Intercepted Arcs

Solve for x

• 51 degrees

• 61 degrees

• 102 degrees

• 204 degrees

What is x?

• 15

• 23

• 2

• 92

Find m∠PRQ.

• 39°

• 90°

• 51°

• 15°

Which phrases completes this theorem correctly? The measure of an inscribed angle equals ....

• half the measure of the intercepted arc.

• twice the measure of the intercepted arc.

• the measure of the intercepted arc.

Which phrase completes this theorem correctly? If two inscribed angles intersect the same arc, then ...

• they are congruent

• they are similar

• they are right angles

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

• central angle

• inscribed angle

• neither

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

• central angle

• inscribed angle

• neither

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

• 150°

• 100°

• 210°

• 105°

Find the value of x

• 100

• 105

• 95

• 90

Find a and b.

• a=74 degrees
  b=93 degrees

• a=93 degrees
  b=74 degrees

• a=87 degrees
  b=106 degrees

• a=106 degrees
  b=87 degrees