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MID-TERM REVIEW ANNA BONSICK
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4.3 ANGLES OF TRIANGLES
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THEOREM #1 TRIANGLE SUM THEOREM The sum of the measure of a triangles angles always will add up to 180 degrees.
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TRIANGLE SUM THEOREM The triangle sum theorem says that if the red angle(C) equals 57 degrees and the green angle (A) equals 35 degrees, than the blue angle (B) would have to equal 88 degrees because 57+35+88=180 degrees.
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THEOREM #2 EXTERIOR ANGLE THEOREM The measure of the exterior angle of a triangle is equal to the two measures of the non-adjacent interior angles. This says that the purple angle plus the pink angle will equal the yellow angle
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EXTERIOR ANGLE THEOREM The exterior angle theorem says that, the green angle plus the blue angle will equal the red angle. For example, if A=36 and B= 67 than outside part of C would = 103 degrees 36+67= 103, than 180 – 103 = the missing angle (77) and 103+77= 180 degrees
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Now, try some problems on your own using the two theorems. You can skip to the next page after each problem for provided work and an answer!
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PRACTICE #1
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ANSWER #1
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PRACTICE #2
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ANSWER #2
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PRACTICE #3 The angles of a triangle are in the ration 4:6:8. find the measure of the smallest angle.
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ANSWER #3 Keep working!
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PRACTICE #4 The angles of a triangle are in the ration of 3:5:7. Find the measure of the largest exterior angle of the triangle.
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ANSWER #4
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PRACTICE #5
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ANSWER #5
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PRACTICE #6
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ANSWER #6
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PRACTICE #7
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ANSWER #7
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VIDEO EXPLANATION TRIANGLE SUM THEOREM https://www.youtube.com/watch?v=yfZfCP2O_TE
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You have now mastered the art of “Angles of Triangles”!
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WORKS CITED Mr pricci website, section 4.3 https://pokepokepokemon.wordpress.com/2012/05/page/2/ http://www.ck12.org/geometry/AA-Similarity/lesson/AA-Similarity/ Mr pricci pkt, seciton 4.3 http://www.freemathhelp.com/feliz-exterior-triangle.html http://www.kwiznet.com/p/takeQuiz.php?ChapterID=10730&CurriculumID=42&Num=6.15 http://www.kwiznet.com/
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