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ANGLE RELATIONSHIPS. SECTION 1-5 and 2-8. Spi.3.2.E. Jim Smith JCHS. Special Pairs Of Angles. 2. 1. 1. 2. Adjacent Angles Have A Common Vertex, A Common Side, But No Common Interior Points. A. D. E. 4. 5. 6. B. C. Adjacent denotes position only.
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ANGLE RELATIONSHIPS SECTION 1-5 and 2-8 Spi.3.2.E Jim Smith JCHS
Special Pairs Of Angles 2 1 1 2 Adjacent Angles Have A Common Vertex, A Common Side, But No Common Interior Points A D E 4 5 6 B C Adjacent denotes position only
Vertical Angles Are Formed By 2 Intersecting Lines 8 6 7 9 Vertical Angles Are Congruent
Linear Pairs Are Adjacent Angles Whose Noncommon Sides Form Opposite Rays 7 2 1 8 4 3 Linear Pairs Are Supplementary
40° 9 50° 10 Complementary AnglesHave A Sum Of 90° Nonadjacent Complementary Angles Adjacent Complementary Angles
Supplementary Angles Have A Sum Of 180° 5 60° 4 120° Adjacent Supplementary Angles Nonadjacent Supplementary Angles
Angle ComplementSupplement 5° 95° 40° 130° NONE 82° 90° – X 180° - X • 85° _______ ________ • 50° _______ ________ • 98° _______ ________ • X° _______ ________
Find the value of x 1) 2) x+25 x+15 3x+5 x 4) 3) A x+18 2x+8 5x- 22 3x+2 C B ABC = 120°
ANSWERS • Comp Angles • x+25+x = 90 • 2x+25 = 90 • 2x = 65 • X = 32½° • Supp Angles • 3x+5+x+15 = 180 • 4x+20 = 180 • 4x = 160 • X = 40° • Angle Add Post • X+18+3x+2 = 120 • 4x+20 = 120 • 4x = 100 • X = 25 • Vertical Angles • 2x+8 = 5x-22 • 8 = 3x-22 • 30 = 3x • X = 10