Quadrilateral Inside the Circle

Inscribed Quadrilaterals: Solve for x and y.

• x=85°, y = 150°

• x = 85°, y = 50°

• x = 95°, y = 150°

• x = 95°, y = 50°

Inscribed Quadrilaterals: Solve for x and y.

• x = 11, y = 4

• x = 4, y = 11

• x = 0, y = 15

• x = 15, y = 0

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

Which corollary is illustrated by this example?

• If a quadrilateral is inscribed in a circle, then opposite angles are supplementary.

• Arcs are congruent if and only if their corresponding central angles are congruent.

• An angle inscribed in a semicircle is a right angle.

• 1

• 2

• 3

• 4

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

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

Given the following inscribed quadrilateral, what is the value of y?

• 10

• 20

• 30

• 40

Given the following inscribed quadrilateral, what are the values of x and y?

• x = 70; y = 120

• x = 30; y = 20

• x = 20; y = 30

• x = 70; y = 40

EFGH is a cyclic quadrilateral with EH parallel to FG. DG is a diameter of the circle, centre O. Given that \angle DOH\ =\ 82\degree and \angle DGE\ =\ 17\degree , calculate \angle HEG