Circle theorem alternate segment theorem

Find the size of each lettered angle

• A= 65, b= 75, c=40

• A= 75, b= 65, c=40

• A= 40, b= 75, c=65

Find the size of each lettered angle

• d=58, e=43, f=79

• d=79, e=58, f=43

• d=79, e=43, f=58

Find the size of each lettered angle.

• g=76, h=41, i=76

• g=41, h=76, i=76

• g=41, h=76, i=41

Find the size of each lettered angle

• k=80, m=52, n=80

• k=52, m=52, n=80

• k=80, m=80, n=52

Find the size of each lettered angle

• a = 75°

  b = 75°

  c = 75°

  d = 30°

• a = 75°

  b = 75°

  c = 75°

  d = 75°

• a = 75°

  b = 30°

  c = 75°

  d = 30°

Find the size of each lettered angle

• a = 86°

  b = 47°

  c = 47

  d = 86°

• a = 86°

  b = 47°

  c = 86°

  d = 47°

• a = 47°

  b = 86°

  c = 86°

  d = 47°

Find the size of each lettered angle

• a = 53°

  b = 53°

• a = 53°

  b = 106°

• a = 106°

  b = 53°

Find the size of each lettered angle

• a = 110°

• a = 55°

• a = 70°

ATB is a tangent to each circle with centre O. Find the size of each angle.

• x = 65°

• x = 25°

• x = 15°

ATB is a tangent to each circle with centre O. Find the size of each angle.

• x = 34°

  y = 11°

  z = 15°

• x = 65°

  y = 69°

  z = 46°

• x = 46°

  y = 69°

  z = 65°