Angles of a polygon: add up the triangles
Grade 8 Math Worksheet

Circle the best answer, or write your answer on the line.
Esme measures every inside angle of a 7-sided paper shape and adds them up. What should the total be, in degrees?
Jun measures every inside angle of a 9-sided paper cut-out and adds them up. What should the total be, in degrees?
Sketch: a polygon with 9 sides. Sketch: a polygon with 9 sides. Not to scale Kira measures every inside angle of a 10-sided shape drawn on paper and adds them up. What should the total be, in degrees?
Sketch: a polygon with 10 sides. Sketch: a polygon with 10 sides. Not to scale Luz measures every inside angle of a 12-sided shape cut from paper and adds them up. What should the total be, in degrees?
Sketch: a polygon with 12 sides. Sketch: a polygon with 12 sides. Not to scale Noah draws a regular 9-sided paper shape. All its inside angles are equal. How many degrees is each one?
Sketch: a regular polygon with 9 equal sides and 9 equal angles. Sketch: a regular polygon with 9 equal sides and 9 equal angles. Not to scale Pia draws a regular 12-sided paper cut-out. All its inside angles are equal. How many degrees is each one?
Sketch: a regular polygon with 12 equal sides and 12 equal angles. Sketch: a regular polygon with 12 equal sides and 12 equal angles. Not to scale Ren draws a regular 20-sided shape drawn in crayon. All its inside angles are equal. How many degrees is each one?
Sketch: a regular polygon with 20 equal sides and 20 equal angles. Sketch: a regular polygon with 20 equal sides and 20 equal angles. Not to scale Zee's paper hexagon has five angles of 95°, 140°, 132°, 118° and 125°. What is the sixth angle, in degrees?
Sketch, not to scale: a hexagon with angles 95°, 140°, 132°, 118° and 125° and x°. Sketch, not to scale: a hexagon with angles 95°, 140°, 132°, 118° and 125° and x°. 95° 140° 132° 118° 125° x° Not to scale Ari's hexagon shape drawn on paper has five angles of 150°, 102°, 124°, 116° and 131°. What is the sixth angle, in degrees?
Sketch, not to scale: a hexagon with angles 150°, 102°, 124°, 116° and 131° and x°. Sketch, not to scale: a hexagon with angles 150°, 102°, 124°, 116° and 131° and x°. 150° 102° 124° 116° 131° x° Not to scale Bo's hexagon shape cut from paper has five angles of 108°, 144°, 127°, 99° and 136°. What is the sixth angle, in degrees?
Sketch, not to scale: a hexagon with angles 108°, 144°, 127°, 99° and 136° and x°. Sketch, not to scale: a hexagon with angles 108°, 144°, 127°, 99° and 136° and x°. 108° 144° 127° 99° 136° x° Not to scale