Geometry: Angle Measure

Ge o metr y : An g l e M e a sure Long-Term Memory Review Review 1

1. Complementary angles are two angles whose measures add up to ______degrees.

2. Supplementary angles are two angles whose measures add up to ______degrees.

3. The sum of the interior measures of any triangle is ______degrees.

4. Draw a figure below that shows two complementary angles.

5. Draw a figure below that shows two supplementary angles.

6. Use the triangle below: What is the measure of the following angles?

110 w y x z 30 m w m x m y m z ______

7. Determine the number of degrees of each section of the pie chart.

a. Food______b. Clothing______c. Rent______d. Miscellaneous______

Misc. Food 17% 25% Food Clothing Clothing Rent 8% Misc. Rent 50%

Hanlonmath.com Ge o metr y : An g l e M e a sure Long-Term Memory Review Review 2

    6. In the figure below, BD  EG and m CFE 65o . What is the measurement of:

m CFE m CFG m EF ______H m GFH m ACB m ______ACD m FCD m FCB ______

E B A F H

7. Use the figure above: Identify two angles that are supplementary.

8. Explain the meaning of parallel and provide the symbol used to show lines or planes are parallel.

    6. In the figure at the right, BD  EG . B E Complete the following below: A C F H

GFH ______‘ OR ACB

7. If p is parallel to q in the figure, what is the sum of angles 1 and 2? 130 1 p 2

8. The measure of an angle is represented by x. The measures of the complement of this angle can be represented as: A. (90 x)o B. (x 90)o C. (180 x)o D. (x 180)o

6. Use the triangle below: What is the value x?

A. 130o 110 B. 110o C. 50o x D. 40o

7. Mr. Clark received his $720 tax refund from the government. He used $324 for food, $216 for clothing, $36 for miscellaneous items, and the rest on entertainment. Complete the table below and then draw and label an appropriate circle graph that would accompany this table.

8. Use the table above: Name two categories of purchase that have complementary central angles.

9. A round pizza is cut evenly into 10 pieces. What is the central angle measure of each piece? A. 18º B. 36º C. 45º D. 90º

10. The second hand on a clock travels from the 12 to the 9. How many degrees has the second hand traveled? A. 90º B. 135º C. 180º D. 270º

Hanlonmath.com Categories of Amount of Percent of Central Purchase Refund Used Refund Angle Measure Food $324 162º Clothing $216 Entertainment 20% Miscellaneous $36 5% 18º Total $720 100% 360º

Hanlonmath.com Ge o metr y : An g l e M e a sure Long-Term Memory Review Q u iz

6. Use the triangle below: What is the value of x?

A. 130o 110 B. 110o C. 50o x 30 D. 40o     7. In the figure below, BD  EG and m CFE 70o . What is the measurement of:

B E m CFE m CFG m EFH ______A C F m GFH m ACB m ACD ______H D G m FCD m FCB ______

GFH ACB ‘or’ ACD CFG

8. Mr. Clark received his $720 tax refund from the government. He used $324 for food, $216 for clothing, $144 for entertainment, and the rest on miscellaneous items. Complete the table below and then draw and label an appropriate circle graph that would accompany this table.

Clothing

9. Use the table above: Name two items of purchase that have supplementary central angles.

Hanlonmath.com Items of Amount of Percent Central Purchase Refund Used of Angle Refund Measure Food $324 45% Clothing Entertainment $144 72º Miscellaneous 5% Total

Hanlonmath.com Ge o metr y : An g l e M e a sure Long-Term Memory Review A N SWERS

Review 1 - Answers 1. 90 2. 180 3. 180

50  4. For example 40 

5. For example  100 80

w 70  x 110  6. y 70  z 40 

7. a. Food: 90 b. Clothing: 29 c. Rent: 180 d. Miscellaneous: 61

Review 2 - Answers 1. 90 2. 180 3. 180

45 4. For example 45

5. For example  90 90 

6. m CFE 65 m 115 m EFH 115 CFG m GFH 65 65 m 115 m ACB ACD

m FCD 65 115

7. Answers may vary, for example ACB and BCF 8. parallel lines are coplanar lines that never intersect (have no points in common)(equal slopes)

Hanlonmath.com Ge o metr y : An g l e M e a sure Long-Term Memory Review Review 3 - Answers 1. 90 2. 180 3. 180

35 4. For example 55

5. For example  110 90 

6. GFH CFE ACB DCF ‘ OR

ACD CFG BCF EFH

7. The sum of angles 1 and 2 is 100 

8. A. (90 x)o

Review 4 - Answers 1. 90 2. 180 3. 180 4. For example

70  20  5. For example

 120 60 6. B. 110o 7.

Hanlonmath.com Categories of Amount of Percent of Central Purchase Refund Used Refund Angle Measure Food $324 45% 162º Clothing $216 30% 108º Entertainment $144 20% 72º Miscellaneous $36 5% 18º Total $720 100% 360º

Hanlonmath.com Ge o metr y : An g l e M e a sur e Long-Term Memory Review 8. Entertainment and Miscellaneous 9. B. 36º 10. D. 270º

Quiz - Ans w ers 1. 90 2. 180 3. 180

4. For example 70  20 

5. For example

 120 60

6. D. 40o

7. m CFE 70  m 110 m EFH 110 B E CFG A C F m GFH 70  70  m ACD 110 H m ACB D G m FCD 70  110

GFH CFE ACB ‘or’ ACD CFG EFH FCB FCD 8.

Clothing

9. Clothing and Entertainment

Hanlonmath.com Items of Amount of Percent Central Purchase Refund Used of Angle Refund Measure Food $324 45% 162º Clothing $216 30% 108º Entertainment $144 20% 72º Miscellaneous $36 5% 18º Total $720 100% 360º

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