1. ANGLERELATIONSHIPS SECTION 1-5 and 2-8 Jim Smith JCHS Spi.3.2.E

2. Special Pairs Of Angles Adjacent Angles Have A Common Vertex, A Common Side, But No Common Interior Points 1 2 1 2 A BC D E 4 5 6 Adjacent denotes position only

3. Vertical Angles Are Formed By 2 Intersecting Lines 6 7 8 9 Vertical Angles Are Congruent

4. Linear Pairs Are Adjacent Angles Whose Noncommon Sides Form Opposite Rays 7 8 1 2 3 4 Linear Pairs Are Supplementary

5. Complementary Angles Have A Sum Of 90° 9 10 AdjacentComplementaryAngles 40° 50° NonadjacentComplementaryAngles

6. Supplementary Angles Have A Sum Of 180° 4 5 120° 60° AdjacentSupplementaryAngles NonadjacentSupplementaryAngles

7. 5° 95° 5° 95° 40° 130° 40° 130° NONE 82° 90° – X 180° - X Angle Complement Supplement Angle Complement Supplement 1. 85° _______ ________ 2. 50° _______ ________ 3. 98° _______ ________ 4. X° _______ ________

8. Find the value of x x x+25 3x+5 x+15 2x+8 5x- 22 x+18 3x+2 A B C ABC = 120° ABC = 120° 1) 2) 3) 4)

9. ANSWERS 1) Comp Angles x+25+x = 90 x+25+x = 90 2x+25 = 90 2x+25 = 90 2x = 65 2x = 65 X = 32½° X = 32½° 2) Supp Angles 3x+5+x+15 = 180 3x+5+x+15 = 180 4x+20 = 180 4x+20 = 180 4x = 160 4x = 160 X = 40° X = 40° 3) Vertical Angles 2x+8 = 5x-22 2x+8 = 5x-22 8 = 3x-22 8 = 3x-22 30 = 3x 30 = 3x X = 10 X = 10 4) Angle Add Post X+18+3x+2 = 120 4x+20 = 120 4x+20 = 120 4x = 100 4x = 100 X = 25 X = 25