Naming Polygons & Name ______Problem Set – Interior Angles per __ date ______Naming polygons: start at a vertex (any vertex) and name that point; then pick a direction and walk around the polygon, naming the points IN ORDER.

Example: possible correct names for the heptagon (right) are: heptagon ABCDEFG G heptagon BCDEFGA F heptagon CDEFGAB A heptagon DEFGABC etc. or: E heptagon GFEDCBA heptagon FEDCBAG heptagon EDCBAGF B etc. D C

Give ALL POSSIBLE CORRECT names for this quadrilateral. There are 8. 1. quadrilateral ______2. quadrilateral ______X 3. quadrilateral ______Y 4. quadrilateral ______5. quadrilateral ______6. quadrilateral ______W 7. quadrilateral ______Z 8. quadrilateral ______

Select all of the following CORRECT names (only!) for the polygon below. __ pentagon ABCDE B __ pentagon DBCEA __ pentagon BCDAE C D __ pentagon EADBC __ pentagon CBDEA E __ pentagon DAECB A Naming Polygons & Name ______Problem Set – Interior Angles per __ date ______

Find the value of x. 1. x = _____ 4. x = _____

10x + 1

3x° 123°

(5x – 6)° 137° 104° 91° 12x

2. x = _____ 5. x = _____

(7x – 3)° 133° 10x – 2

93° 8x + 11 12x

5x° 135°

124° 139°

3. x = _____ 6. x = _____

96° 149° 158° 143° 112° 131° 15x° 9x + 6 12x° 113° 18x° 8x 120°

Naming Polygons & Name ______

Problem Set – Interior Angles ANSWERS per __ date ______Naming polygons: start at a vertex (any vertex) and name that point; then pick a direction and walk around the polygon, naming the points IN ORDER.

Example: possible correct names for the heptagon (right) are: heptagon ABCDEFG G heptagon BCDEFGA F heptagon CDEFGAB A heptagon DEFGABC etc. or: E heptagon GFEDCBA heptagon FEDCBAG heptagon EDCBAGF B etc. D C

Give ALL POSSIBLE CORRECT names for this quadrilateral. There are 8. 1. quadrilateral _WXYZ_ 2. quadrilateral _XYZW_ X 3. quadrilateral _YZWX_ 4. quadrilateral _ZWXY_ Y 5. quadrilateral _ZYXW_ 6. quadrilateral _YXWZ_ 7. quadrilateral _XWZY_ W 8. quadrilateral _WZYX_ Z

Select all of the following CORRECT names (only!) for the polygon below. _N_ pentagon ABCDE B _Y_ pentagon DBCEA _N_ pentagon BCDAE C D _Y_ pentagon EADBC _N_ pentagon CBDEA E _Y_ pentagon DAECB A Naming Polygons & Name ______

Problem Set – Interior Angles ANSWERS per __ date ______Find the value of x. 1. x = _12_ 4. x = _12_

10x + 1

3x° 123°

(5x – 6)° 137° 104° 91° 8x  84  180 12x 8x  96 22x  456  720

22x  264

2. x = _ _ 15 5. x = _12_

(7x – 3)° 133° 10x – 2

93° 8x + 11 12x

5x° 135°

124° 12x  180  360 139°

12x  180 30x  540  900

30x  360 3. x = _11_ 6. x = _9_

96° 149° 158° 131° 143° 112° 9x + 6 15x°

12x° 8x 113° 18x° 120°

45x  675  1080 17x  353  540 45x  405 17x  187