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(over Lesson 3-1). 1-1a. Slide 1 of 2. (over Lesson 3-1). 1-1b. Slide 1 of 2. Vocabulary. §3.2 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. P. 75 °. Q. R.
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(over Lesson 3-1) 1-1a Slide 1 of 2
(over Lesson 3-1) 1-1b Slide 1 of 2
Vocabulary §3.2 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
P 75° Q R m PQR = 75 §3.2 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.
A n° C m ABC = n and 0 < n < 180 B §3.2 Angle Measure 0 180
Use a protractor to measure SRQ. 1) Place the center point of the protractor on vertex R. Align the straightedge with side RS. 2) Use the scale that begins with 0 at RS. Read where the other side of the angle, RQ, crosses this scale. Q R S §3.2 Angle Measure protractor You can use a _________ to measure angles and sketch angles of givenmeasure.
m SRG = m GRJ = m QRG = m SRH m SRJ = m SRQ = H J G Q S R §3.2 Angle Measure 70 Find the measurement of: 180 – 150 = 30 180 45 150 – 45 = 105 150
1) Draw AB 3) Locate and draw point C at the mark labeled 135. Draw AC. C A B §3.2 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.
A A A obtuse angle 90 < m A < 180 acute angle 0 < m A < 90 right angle m A = 90 §3.2 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. Angle Classification (Video)
40° 110° 90° 50° 75° 130° §3.2 Angle Measure Classify each angle as acute, obtuse, or right. Acute Obtuse Right Obtuse Acute Acute
The measure of H is 67.Solve for y. The measure of B is 138.Solve for x. H 9y + 4 5x - 7 B B = 5x – 7 and B = 138 H = 9y + 4 and H = 67 §3.2 Angle Measure Given: (What do you know?) Given: (What do you know?) 9y + 4 = 67 5x – 7 = 138 Check! Check! 9y = 63 5x = 145 9(7) + 4 = ? 5(29) -7 = ? y = 7 x = 29 63 + 4 = ? 145 -7 = ? 67 = 67 138 = 138
Is m a larger than m b ? ? ? ? 60° 60°