geometry and measures

Question 1

how do you find the sum of interior angles in a polygon?

Answer 1

(n-2) x 180º

Question 2

what is a regular polygon?

Answer 2

all its interior angles are equal and all its sides are the same length

Question 3

how do we find one interior angle of a regular polygon?

Answer 3

interior angle of a regular polygon = sum of interior angles ➗ number of sides

Question 4

how do we work out one exterior angle?

Answer 4

at each vertex there is an exterior angle and an interior angle that join to form 180°

Question 5

what do exterior angles add up to?

Answer 5

360°

Question 6

how do we work out one exterior angle:

Answer 6

E = 360° ➗ number of sides

Question 7

SQUARE

Answer 7

no. of sides = 4
1 interior angle = 90°
total interior angles: 360°
1 exterior angle = 90°

Question 8

PENTAGON

Answer 8

no. of sides = 5
1 interior angle = 108°
total interior angles = 540°
1 exterior angle = 72°

Question 9

HEXAGON

Answer 9

no. of sides = 6
1 interior angle = 120°
total interior angles = 720°
1 exterior angle = 60°

Question 10

OCTAGON

Answer 10

no. of sides = 8
1 interior angle = 135°
total interior angles = 1080°
1 exterior angle = 45°

Question 11

NONAGON

Answer 11

no. of sides = 9
1 interior angle = 140°
total interior angles = 1260°
1 exterior angle = 40°

Question 12

DECAGON

Answer 12

no. of sides = 10
1 interior angle = 144°
total interior angles = 1440°
1 exterior angle = 36°