Cyclic Quadrilaterals and Circumscribed Angles

Find the sizes of the lettered angles in each of these circles

• a = 50, b = 95

• a = 85, b = 130

• a = 95, b = 50

• a = 130, b = 85

Tags

CCSS.HSG.C.A.2

Find the sizes of the lettered angles in each of these circles

• c = 92, x = 90

• c = 180, x = 77

• c = 88, x = 88

• c = 88, x = 92

Tags

CCSS.HSG.C.A.2

Find the sizes of the lettered angles in each of these circles

• g = 105, h = 99

• g = 81, h = 105

• g = 99, h = 105

• g = 105, h = 81

Tags

CCSS.HSG.C.A.2

The sum of either pair of opposite angles of a cyclic quadrilateral is _______.

• 80⁰

• 90⁰

• 180⁰

• 360⁰

Answer explanation

The sum of either pair of opposite angles of a cyclic quadrilateral is 180⁰ and the total sum of all 4 angles is 360⁰ Hence, option 3 is the correct answer.

In the given figure, find the value of x.

• 70⁰

• 110⁰

• 180⁰

• 90⁰

Answer explanation

We know that sum of pair of opposite angles of a cyclic quadrilateral is 180⁰. ∴ ∠A + ∠C = 180⁰ 110⁰ + ∠C = 180⁰ ∠C = 180⁰ - 110⁰ ∠C = 70⁰ Hence, option 1 is the correct answer.

Tags

CCSS.HSG.C.A.2

∠x + ∠y =

• 45°

• 900°

• 180°

• 360°

Tags

CCSS.HSG.C.A.3

x =

• 30°

• 40°

• 50°

• 60°

Tags

CCSS.HSG.C.A.2

The diagram shows a cyclic quadrilateral.

• TRUE

• FALSE

Tags

CCSS.2.G.A.1

The diagram shows a cyclic quadrilateral.

• TRUE

• FALSE

Tags

CCSS.2.G.A.1

Is OCAB a cyclic quadrilateral?

• Yes

• No

Tags

CCSS.2.G.A.1