ANGLES OF POLYGONS POLYGONS NOT POLYGONS CONCAVE CONVEX

ANGLES OF POLYGONS

POLYGONS NOT POLYGONS

CONCAVE CONVEX

NAMES OF POLYGONS SIDES TRIANGLE QUADRILATERAL PENTAGON HEXAGON HEPTAGON OCTAGON NONAGON DECAGON DODECAGON N – GON 3 5 7 9 12 N

INTERIOR ANGLE SUM OF CONVEX POLYGONS FIND THE NUMBER OF TRIANGLES FORMED BY DIAGONALS FROM ONE VERTEX 6 SIDES = 4 TRIANGLES

INTERIOR ANGLE SUM FIND THE NUMBER OF TRIANGLES FORMED BY DIAGONALS FROM ONE VERTEX 4 SIDES = 2 TRIANGLES

INTERIOR ANGLE SUM FIND THE NUMBER OF TRIANGLES FORMED BY DIAGONALS FROM ONE VERTEX 8 SIDES = ? TRIANGLES

INTERIOR ANGLE SUM EACH TRIANGLE HAS 180° IF N IS THE NUMBER OF SIDES THEN: INT ANGLE SUM = (N – 2 ) 180°

2 3 1 4 5 INT ANGLE SUM = ( 5 – 2 ) 180° ( 3 ) 180° = 540°

REGULAR POLYGONS HAVE EQUAL SIDES AND EQUAL ANGLES SO WE CAN FIND THE MEASURE OF EACH INTERIOR ANGLE

EACH INTERIOR ANGLE OF A REGULAR POLYGON = (N – 2 ) 180 N REMEMBER N = NUMBER OF SIDES

REGULAR HEXAGON INT ANGLE SUM = (6 – 2 ) 180 = 720° EACH INT ANGLE = 720 = 120° 6

EXTERIOR ANGLE SUM EXTERIOR ANGLE ALL POLYGONS HAVE AN EXTERIOR ANGLE SUM OF 360° THE MEASURE OF EACH EXTERIOR ANGLE OF A REGULAR POLYGON IS 360° N

NAME ______ # SIDES ____8____ INT ANGLE SUM _____ EACH INT ANGLE _____ EXT ANGLE SUM _____ EACH EXT ANGLE _____

NAME Octagon # SIDES ____8____ INT ANGLE SUM 6 x 180 = 1080° EACH INT ANGLE 1080 / 8 = 135° EXT ANGLE SUM 360° EACH EXT ANGLE 360 / 8 = 45°

NAME DECAGON # SIDES ______ INT ANGLE SUM _____ EACH INT ANGLE _____ EXT ANGLE SUM _____ EACH EXT ANGLE _____

NAME # SIDES DECAGON 10 INT ANGLE SUM 8 x 180 = 1440° EACH INT ANGLE 1440 / 10 = 144° EXT ANGLE SUM 360° EACH EXT ANGLE 360 / 10 = 36°

NAME ______ # SIDES ______ INT ANGLE SUM _____ EACH INT ANGLE _____ EXT ANGLE SUM _____ EACH EXT ANGLE 60______

NAME HEXAGON # SIDES 360 / 60 = 6 INT ANGLE SUM (6 -2) X 180 = 720° EACH INT ANGLE 720 / 6 = 120° EXT ANGLE SUM 360° EACH EXT ANGLE 60