Cyclic Quadrilateral

Find the values of x and y in each of these circles where O is the centre.

• x = 50°​

  y = 45°

• x = 45°​

  y = 48°

• x = 48°​

  y = 40°

• x = 48°​

  y = 45°

Tags

CCSS.HSG.C.A.2

What is the sum of opposite interior angles in a cyclic quadrilateral?

Tags

CCSS.HSG.C.A.3

Is OCAB a cyclic quadrilateral?

• Yes

• No

Tags

CCSS.2.G.A.1

The value of 'x' and ' y' in the figure

• x = 14 , y =20

• x= 30, y=30

• x= 14 , y= 30

• x= 25 , y=20

Tags

CCSS.HSG.C.A.2

• 40

• 75

• 180

• 105

Tags

CCSS.HSG.C.A.2

Tags

CCSS.HSG.C.A.2

Tags

CCSS.HSG.C.A.2

In the figure,
x = (no need to input unit in your answer)

(a)  

Tags

CCSS.HSG.C.A.2

In the figure,
x = (no need to input unit in your answer)

(a)  

Tags

CCSS.HSG.C.A.2

The exterior angle of a cyclic quadrilateral...

• is the sum of the opposite two interior angles

• equals the angle at the circumference subtended by arcs of the same length

• equals the opposite interior angle

• is twice the opposite interior angle