Understanding and applying theorems and properties about circles

What is the measure of an inscribed angle that intercepts a semicircle?

• 90 degrees

• 270 degrees

• 45 degrees

• 180 degrees

Find the value of the angle marked x....

• 50

• 100

• 80

• 90

Solve for x.

• 73

• 16

• 30.6

• 10.6

Find the measure of angle SPT.

(a)  

Solve for x. 

• 41
• 82
• 164

What is the measure of ∠PTQ?

• 100°

• 140°

• 180°

• 120°

What is the measure of the missing angle in degrees?

Mathematical Equivalence

ON

Solve for x

(a)  

If arc ADC is 300°, what is x?

• 60

• 150

• 30

• 300

What are the values of x and y?

• x=75°; y=93°
• x=65°;y=104°
• x=75°; y=94°
• x=65°; y=93