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Sec 1-4 Concepts: Classifying Angles

Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g. H. S. 1. 2. O. G. Example 1: Name the <‘s in the figure. <HOS <SOH <1 <SOG <GOS <2 <HOG <GOH.

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Sec 1-4 Concepts: Classifying Angles

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  1. Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g.

  2. H S 1 2 O G Example 1: Name the <‘s in the figure <HOS <SOH <1 <SOG <GOS <2 <HOG <GOH

  3. Classify the angle with the given measure as acute, obtuse, right or straight. m<T = 90 m<Y = 32 m<X = 180 m<A = 160 acute right obtuse straight

  4. Use a protractor to measure the angle. Then classify it. 2. 1. 101 131

  5. d 60 a 120 e 15 b c g f Example 3: Find the indicated angle measure

  6. Example 4: For each city on the polar map, estimate the measure of <BOA where B is on the Prime Meridian (0۫ Longitude), O is the North Pole and A is the City Clyde River, Canada Fairbanks Alaska Old Crow Canada Reytjavik Iceland Angmagssalik Greenland Tuktoyaktuk, Cananda About 148 About 69 About 140 About 21 About 38 About 133

  7. R P 50° 60° T S Angle Addition Postulate If P is in the interior of <RST, then m<RSP +m<PST = m<RST Example 5:Find the m<RST 50 + 60 = 110°

  8. P Q R O Example 6: Use the angle addition postulate to solve for x. Then find the measure of each angle. A. (X+4) + (2x-2) = 26 3x+2=26 3x=24 X=8 m<POQ = 8+4 = 12 m<QOR = 2(8)-2= 14 m<POR = 26

  9. P Q R O Example 6 cont.: Use the angle addition postulate to solve for x. Then find the measure of each angle. (3X+7) + (5x-2) = 61 8x+5=56 8x=56 X=7 B. m<POQ = 3(7)+7 = 28 m<QOR = 5(7)-2=33 m<POR = 61

  10. 42 H K J L Example 7: JK bisects < HJL. Given that m<HJL=42°, what are the measures of <HJK and <KJL? m<HJK and m<KJL must each be half of 42. m<HJK and m<KJL = 21

  11. A D (5x+5) (6x-2) B Example 8: BD bisects <ABC. Find the value of x. 5x+5 = 6x-2 -5x -5x 5=x-2 +2 +2 7=x C Since BD bisects <ABC, then m<ABD = m<BDC

  12. Today’s Work

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