Solving for Circle Angles and Arcs

Find the measure of the missing angle. (Hint: Central Angles)

• 60

• 310

• 155

• 50

What is the measure of the missing angle in degrees? (Hint: Inscribed Angle)

• 102

• 51

• 204

• 40

If an inscribed angle intercepts a diameter, then it is a(n) _ angle.

• Obtuse

• Right

• Acute

Find the measure of the missing angle in degrees. (Hint: Overlapping Arcs and Inscribed Angles)

• 41

• 37

• 82

• 164

If minor arc AC = 96° , what is the measure of ∠ ABC?

• 53°

• 64°

• 72°

• 84°

1. ​ (a)   2. ​ (b)  

3. ​ (c)   4. ​ (d)   5. ​ (e)  

• Inscribed Angle

• Central Angle

• Semi-Circle

• Chord

• Minor Arc

• Major Arc

• Diameter

• Secant

• Tangent

• Radius

Match the following

• 47

• arc EF

• 104

• m<1

• 52

• m<2

Answer explanation

arc EF = Add 58+104+94=256. Then 360 - 256 = 104

m<1 = 94/2 = 47

m<2= 104/2 = 52

Find the measure of arc RT.

• 142

• 98

• 155

• 187

Find the missing angles or arcs.

Find the missing angles or arcs.