Circle Relationships

​10.5 Angles Relationships in Circles

TAKE A PICTURE AND LABEL FOR YOUR NOTES.

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Exterior Angle

Multiple Choice

What is the measure of angle 2? #6

• 80

• 45

• 125

• 40

Multiple Choice

Solve for x. #4

• 140

• 89

• 51

• 38

Multiple Choice

Solve for x. #1 $$Outside\ Angle=\frac{Big\ Arc\ -\ Small\ Arc}{2}$$  

• 29

• 33

• 41.5

• 50

Multiple Choice

Find the measure of angle ADB. #5

• 47.5

• 85

• 132.5

• 180

Fill in the Blanks

Interior Angle

• An interior angle has a vertex inside the circle and is formed by two intersecting chords/secants.

• The measure of an interior angle is half the sum of its corresponding arcs.

• Interior Angle=(Arc₁ + Arc₂)/2

Multiple Choice

Which expression can be used to solve for the unknown angle measure? #20

• ? = (50 + 99) ÷ 2

• ? = 50 + 99

• ? = 198 - 50

• ? = 180 - (50 + 90)

Multiple Choice

Find the measure of angle ABD. #3

• 14

• 51

• 37

• 65

Multiple Choice

Find the measure of angle MNQ. #2

• 89

• 45

• 158

• 22

Multiple Choice

Given circle O as shown.

Find x. #17

• 120 degrees

• 110 degrees

• 104 degrees

• 98 degrees

Multiple Choice

Find the value of x. #22

• 88

• 38

• 34

• 44

Multiple Choice

Solve for x. #14

• x = 35.67

• x = -1

• x = 14

• x = -4.33

Multiple Choice

Determine the value of x using the information in the diagram. #28

• 280º

• 174º

• 140º

• 68º

Multiple Choice

Find the measure of major arc PQ (the question mark). #41

• 260°

• 100°

• 25°

• 130°

Multiple Choice

What is the measure of the question mark arc?

#42

• 240

• 230

• 205

• 255