Intersecting Chords Arc and Angle Measures

Determine the value of x using the information in the diagram.

• 267º

• 133.5º

• 117º

• 84º

Which expression can be used to solve for the unknown angle measure?

• ? = 56 + 50

• ? = 56 – 50

• ? = (56 + 50) ÷ 2

• ? = (56 – 50) ÷ 2

Which expression can be used to solve for the unknown angle measure?

• ? = 118 – 90

• ? = 90 – (118 – 90)

• ? = 90 + (118 – 90)

• ? = 118 + 90

Which expression can be used to solve for the unknown angle measure?

• ? = 50 + 99

• ? = 99 – 50

• ? = 99 + (99 – 50)

• ? = (50 + 99) ÷ 2

Determine the value of x using the information in the diagram.

• 124º

• 99º

• 74º

• 50º

Find the measure of angle ABD.

• 14

• 51

• 37

• 65

∠ AED is formed inside a circle by two intersecting chords. If minor arc BD = 70° and minor arc CA = 180° , what is the measure of ∠ AED?

• 45°

• 50°

• 55°

• 60°

∠ BED is formed inside a circle by intersecting chords. If minor arc BD = 94 and ∠ BED = 100, what is the measure of arc AC?

• 88°

• 97°

• 106°

• 200°

Find the measure of angle BDC.

• 35

• 40

• 75

• 110

4. 

• 123°

• 57°

• 132°

• 66°