Polygons

Question 1

How do you work out the sum of the interior angles of a polygon?

Answer 1

(Number of sides) - 2 x 180°= sum of interior angles

Question 2

What is the sum of external angles for any polygon?

Answer 2

360°

Question 3

Work out the sum of interior angles for a pentagon: using the formula

Answer 3

(Number of sides) - 2 x 180°= sum of interior angles

540°

Question 4

Work out the sum of interior angles for a octagon?

Use the formula

Answer 4

(Number of sides) - 2 x 180°= sum of interior angles

1080°

Question 5

Work out the sum of interior angles for a nonagon?

Use the formula

Answer 5

(Number of sides) - 2 x 180°= sum of interior angles

1260°

Question 6

Find the exterior angle of an octagon, remember they all add up to 360°

Answer 6

360°
—— = 45°
8

Question 7

Find the exterior angle of an equilateral triangle, remember they all add up to 360°

Answer 7

360°
—— = 120°
3

Question 8

Find the exterior angle of an heptagon, remember they all add up to 360°

Answer 8

360°
—– = 51°
7

Question 9

If a certain shape has an exterior angle of 30° how many sides does this shape have?

Answer 9

Reverse operation:

360
—— = 12 sides
30°

Question 10

If a certain shape has an exterior angle of 90°, how many sides does this shape have?

Answer 10

Reverse operation?

360°
—– = 4 sides
90°

Question 11

If a certain shape has an exterior angle of 20°, how many sides does this shape have?

Answer 11

Reverse operation:

360°
—– = 18 sides
20°

Question 12

What is a polygon?

Answer 12

A polygon is a multi-sided shape.