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

Circle the best answer, or write your answer on the line.
The angles of Jun's hexagon paper cut-out are (x + 20)°, (x + 20)°, (2x)°, (2x)°, (x + 40)° and (x + 40)°. How many degrees is the largest angle?
The angles of Kira's octagon shape drawn on paper are x°, x°, x°, x°, (x + 30)°, (x + 30)°, (x + 30)° and (x + 30)°. How many degrees is the largest angle?
Sketch, not to scale: a polygon with 8 sides and its angles labeled x°, x°, x°, x°, (x + 30)°, (x + 30)°, (x + 30)° and (x + 30)°. Sketch, not to scale: a polygon with 8 sides and its angles labeled x°, x°, x°, x°, (x + 30)°, (x + 30)°, (x + 30)° and (x + 30)°. x° x° x° x° (x + 30)° (x + 30)° (x + 30)° (x + 30)° Not to scale The angles of Luz's pentagon shape cut from paper are (x + 50)°, (x + 50)°, (x + 10)°, (x + 10)° and x°. How many degrees is the largest angle?
Sketch, not to scale: a polygon with 5 sides and its angles labeled (x + 50)°, (x + 50)°, (x + 10)°, (x + 10)° and x°. Sketch, not to scale: a polygon with 5 sides and its angles labeled (x + 50)°, (x + 50)°, (x + 10)°, (x + 10)° and x°. (x + 50)° (x + 50)° (x + 10)° (x + 10)° x° Not to scale The inside angles of Milo's paper polygon add up to 1440°. How many sides does it have?
Sketch: a polygon with its sides not counted; the angle total 1440° written inside. Sketch: a polygon with its sides not counted; the angle total 1440° written inside. 1440° a polygon with its sides not counted; the angle total 1980° written inside. The inside angles of Noah's paper cut-out with many sides add up to 1980°. How many sides does it have?
The inside angles of Pia's polygon drawn in pencil add up to 2340°. How many sides does it have?
Sketch: a polygon with its sides not counted; the angle total 2340° written inside. Sketch: a polygon with its sides not counted; the angle total 2340° written inside. 2340° The inside angles of Ren's big polygon drawn in crayon add up to 3240°. How many sides does it have?
Sketch: a polygon with its sides not counted; the angle total 3240° written inside. Sketch: a polygon with its sides not counted; the angle total 3240° written inside. 3240° Not to scale. Each inside angle of Tala's regular shape drawn on paper is 140°. How many sides does it have?
Sketch: a regular polygon, each inside angle 140°; one side extended to show the outside angle. Sketch: a regular polygon, each inside angle 140°; one side extended to show the outside angle. 140° outside angle Each inside angle of Ari's regular paper polygon is 160°. How many sides does it have?
Sketch: a regular polygon, each inside angle 160°; one side extended to show the outside angle. Sketch: a regular polygon, each inside angle 160°; one side extended to show the outside angle. 160° outside angle a regular polygon, each inside angle 156°; one side extended to show the outside angle. Each inside angle of Bo's regular shape cut from paper is 156°. How many sides does it have?