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Students learn to measure and classify angles.

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- 1. You will learn to measure, draw, and classify angles. What You'll Learn 1) Degrees 2) Protractor 3) Right Angle 4) Acute Angle 5) Obtuse Angle Angle Measure Vocabulary
- 2. In geometry, angles are measured in units called _______. degrees Angle Measure
- 3. In geometry, angles are measured in units called _______. degrees The symbol for degree is ° . Angle Measure
- 4. In geometry, angles are measured in units called _______. degrees The symbol for degree is ° . In the figure to the right, the angle is 75 degrees. In notation , there is no degree symbol with 75 because the measure of an angle is a real number with no unit of measure. Angle Measure Q P R 75 ° m PQR = 75
- 5. Angle Measure For every angle, there is a unique positive number between __ and ____ called the degree measure of the angle. Postulate 3-1 Angles Measure Postulate B A C n °
- 6. 0 Angle Measure For every angle, there is a unique positive number between __ and ____ called the degree measure of the angle. Postulate 3-1 Angles Measure Postulate B A C n °
- 7. 0 180 Angle Measure For every angle, there is a unique positive number between __ and ____ called the degree measure of the angle. Postulate 3-1 Angles Measure Postulate B A C n °
- 8. 0 180 Angle Measure For every angle, there is a unique positive number between __ and ____ called the degree measure of the angle. Postulate 3-1 Angles Measure Postulate B A C n ° m ABC = n and 0 < n < 180
- 9. Find the measurement of: Angle Measure J H G S Q R m SRQ = m S RJ = m SRG = m QRG = m GRJ = m SRH
- 10. Find the measurement of: 180 45 150 70 180 – 150 = 30 150 – 45 = 105 Angle Measure J H G S Q R m SRQ = m S RJ = m SRG = m QRG = m GRJ = m SRH
- 11. Use a protractor to draw an angle having a measure of 135. Angle Measure
- 12. Use a protractor to draw an angle having a measure of 135. Angle Measure 1) Draw AB A B
- 13. Use a protractor to draw an angle having a measure of 135. 2) Place the center point of the protractor on A. Align the mark labeled 0 with the ray. Angle Measure 1) Draw AB A B
- 14. Use a protractor to draw an angle having a measure of 135. 2) Place the center point of the protractor on A. Align the mark labeled 0 with the ray. Angle Measure 1) Draw AB 3) Locate and draw point C at the mark labeled 135. Draw AC. A B
- 15. Use a protractor to draw an angle having a measure of 135. 2) Place the center point of the protractor on A. Align the mark labeled 0 with the ray. Angle Measure 1) Draw AB 3) Locate and draw point C at the mark labeled 135. Draw AC. C A B
- 16. Once the measure of an angle is known, the angle can be classified as one of three types of angles. These types are defined in relation to a right angle. Angle Measure
- 17. Once the measure of an angle is known, the angle can be classified as one of three types of angles. These types are defined in relation to a right angle. Angle Measure Types of Angles A
- 18. Once the measure of an angle is known, the angle can be classified as one of three types of angles. These types are defined in relation to a right angle. Angle Measure Types of Angles obtuse angle 90 < m A < 180 A
- 19. Once the measure of an angle is known, the angle can be classified as one of three types of angles. These types are defined in relation to a right angle. Angle Measure Types of Angles A obtuse angle 90 < m A < 180 A
- 20. Once the measure of an angle is known, the angle can be classified as one of three types of angles. These types are defined in relation to a right angle. Angle Measure Types of Angles A right angle m A = 90 obtuse angle 90 < m A < 180 A
- 21. Once the measure of an angle is known, the angle can be classified as one of three types of angles. These types are defined in relation to a right angle. Angle Measure Types of Angles A right angle m A = 90 A obtuse angle 90 < m A < 180 A
- 22. Once the measure of an angle is known, the angle can be classified as one of three types of angles. These types are defined in relation to a right angle. Angle Measure Types of Angles A right angle m A = 90 acute angle 0 < m A < 90 A obtuse angle 90 < m A < 180 A
- 23. Classify each angle as acute , obtuse , or right . Angle Measure 110 ° 90 ° 40 ° 50 ° 130 ° 75 °
- 24. Classify each angle as acute , obtuse , or right . Obtuse Obtuse Acute Acute Acute Right Angle Measure 110 ° 90 ° 40 ° 50 ° 130 ° 75 °
- 25. Angle Measure 5x - 7 B The measure of B is 138. Solve for x.
- 26. Given: (What do you know?) Angle Measure 5x - 7 B The measure of B is 138. Solve for x. B = 5x – 7 and B = 138
- 27. Given: (What do you know?) 5x – 7 = 138 5x = 145 x = 29 Angle Measure 5x - 7 B The measure of B is 138. Solve for x. B = 5x – 7 and B = 138
- 28. Given: (What do you know?) 5x – 7 = 138 5x = 145 x = 29 5(29) -7 = ? 145 -7 = ? 138 = 138 Check! Angle Measure 5x - 7 B The measure of B is 138. Solve for x. B = 5x – 7 and B = 138
- 29. Angle Measure 9y + 4 H The measure of H is 67. Solve for y.
- 30. Given: (What do you know?) Angle Measure 9y + 4 H The measure of H is 67. Solve for y. H = 9y + 4 and H = 67
- 31. Given: (What do you know?) 9y + 4 = 67 9y = 63 y = 7 Angle Measure 9y + 4 H The measure of H is 67. Solve for y. H = 9y + 4 and H = 67
- 32. Given: (What do you know?) 9y + 4 = 67 9y = 63 y = 7 9(7) + 4 = ? 63 + 4 = ? 67 = 67 Check! Angle Measure 9y + 4 H The measure of H is 67. Solve for y. H = 9y + 4 and H = 67
- 33. Angle Measure End of Lesson

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May I suggest you take a look at:

http://www.mathopenref.com

Fantastic site for geometry.