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You will learn to measure, draw, and classify angles.

Vocabulary. Angle Measure. What You'll Learn. You will learn to measure, draw, and classify angles. 1) Degrees 2) Protractor 3) Right Angle 4) Acute Angle 5) Obtuse Angle. Angle Measure. degrees. In geometry, angles are measured in units called _______. Angle Measure. degrees.

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You will learn to measure, draw, and classify angles.

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  1. Vocabulary Angle Measure What You'll Learn You will learn to measure, draw, and classify angles. 1) Degrees 2) Protractor 3)Right Angle 4) Acute Angle 5) Obtuse Angle

  2. Angle Measure degrees In geometry, angles are measured in units called _______.

  3. Angle Measure degrees In geometry, angles are measured in units called _______. The symbol for degree is °.

  4. P 75° Q R m PQR = 75 Angle Measure degrees In geometry, angles are measured in units called _______. 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.

  5. A n° C B Angle Measure

  6. A n° C B Angle Measure 0

  7. A n° C B Angle Measure 0 180

  8. A n° C m ABC = n and 0 < n < 180 B Angle Measure 0 180

  9. m SRQ = m SRJ = m SRG = m QRG = m GRJ = m SRH H J G Q S R Angle Measure Find the measurement of:

  10. m SRG = m GRJ = m QRG = m SRH m SRJ = m SRQ = H J G Q S R Angle Measure Find the measurement of: 70 180 180 – 150 = 30 45 150 150 – 45 = 105

  11. Angle Measure Use a protractor to draw an angle having a measure of 135.

  12. 1) Draw AB A B Angle Measure Use a protractor to draw an angle having a measure of 135.

  13. 1) Draw AB A B Angle Measure 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.

  14. 1) Draw AB 3) Locate and draw point C at the mark labeled 135. Draw AC. A B Angle Measure 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.

  15. 1) Draw AB 3) Locate and draw point C at the mark labeled 135. Draw AC. C A B Angle Measure 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.

  16. Angle Measure Once the measure of an angle is known, the angle can be classified as oneof three types of angles. These types are defined in relation to a right angle.

  17. A Angle Measure Once the measure of an angle is known, the angle can be classified as oneof three types of angles. These types are defined in relation to a right angle.

  18. A obtuse angle 90 < m A < 180 Angle Measure Once the measure of an angle is known, the angle can be classified as oneof three types of angles. These types are defined in relation to a right angle.

  19. A A obtuse angle 90 < m A < 180 Angle Measure Once the measure of an angle is known, the angle can be classified as oneof three types of angles. These types are defined in relation to a right angle.

  20. A A obtuse angle 90 < m A < 180 right angle m A = 90 Angle Measure Once the measure of an angle is known, the angle can be classified as oneof three types of angles. These types are defined in relation to a right angle.

  21. A A A obtuse angle 90 < m A < 180 right angle m A = 90 Angle Measure Once the measure of an angle is known, the angle can be classified as oneof three types of angles. These types are defined in relation to a right angle.

  22. A A A obtuse angle 90 < m A < 180 acute angle 0 < m A < 90 right angle m A = 90 Angle Measure Once the measure of an angle is known, the angle can be classified as oneof three types of angles. These types are defined in relation to a right angle.

  23. 40° 110° 90° 50° 75° 130° Angle Measure Classify each angle as acute, obtuse, or right.

  24. 40° 110° 90° 50° 75° 130° Angle Measure Classify each angle as acute, obtuse, or right. Acute Obtuse Right Obtuse Acute Acute

  25. The measure of B is 138.Solve for x. 5x - 7 B Angle Measure

  26. The measure of B is 138.Solve for x. 5x - 7 B B = 5x – 7 and B = 138 Angle Measure Given: (What do you know?)

  27. The measure of B is 138.Solve for x. 5x - 7 B B = 5x – 7 and B = 138 Angle Measure Given: (What do you know?) 5x – 7 = 138 5x = 145 x = 29

  28. The measure of B is 138.Solve for x. 5x - 7 B B = 5x – 7 and B = 138 Angle Measure Given: (What do you know?) 5x – 7 = 138 Check! 5x = 145 5(29) -7 = ? x = 29 145 -7 = ? 138 = 138

  29. The measure of H is 67.Solve for y. H 9y + 4 Angle Measure

  30. The measure of H is 67.Solve for y. H 9y + 4 H = 9y + 4 and H = 67 Angle Measure Given: (What do you know?)

  31. The measure of H is 67.Solve for y. H 9y + 4 H = 9y + 4 and H = 67 Angle Measure Given: (What do you know?) 9y + 4 = 67 9y = 63 y = 7

  32. The measure of H is 67.Solve for y. H 9y + 4 H = 9y + 4 and H = 67 Angle Measure Given: (What do you know?) 9y + 4 = 67 Check! 9y = 63 9(7) + 4 = ? y = 7 63 + 4 = ? 67 = 67

  33. Angle Measure End of Lesson

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