Circle Theorems Practice

The diagram below shows a semicircle with the quadrilateral 𝐴𝐵𝐶𝐷 inscribed inside.

Calculate the size of angle 𝐵𝐶𝐷, labelled θ.

(leave the unit for degrees out)

Tags

CCSS.HSG.C.A.2

Calculate the angle θ in the figure.

(Leave out the unit when writing your answer)

Tags

CCSS.HSG.C.A.2

Calculate the angle θ in the figure.

(Leave out the unit when writing your answer)

Tags

CCSS.HSG.C.A.2

Calculate the angle θ in the figure.

(Leave out the unit when writing your answer)

Tags

CCSS.HSG.C.A.2

Calculate the angle θ in the figure.

(Leave out the unit when writing your answer)

Tags

CCSS.HSG.C.A.2

Calculate the value of y.

(Leave out the unit when writing your answer)

Tags

CCSS.HSG.C.A.2

The diagram below shows a semicircle with the quadrilateral 𝐴𝐵𝐶𝐷 inscribed inside.

A line connects 𝐴 and 𝐶. What is the size of angle 𝐴𝐶B?

(leave the unit for degrees out)

Tags

CCSS.HSG.C.A.2

Find the value of the angle marked x....

• 61

• 63

• 117

• 119

Tags

CCSS.HSG.C.A.2

Find the measure of angle ABD.

• 14

• 51

• 37

• 65

Tags

CCSS.HSG.C.A.2

Angle Inside Circle

• A

• B

• C

• D

Tags

CCSS.HSG.C.A.2