Angles In Ploygons

Question 1

What 2 angels add up to 180°

Answer 1

Exterior + interior = 180°

Question 2

How do you find the exterior angle?

Answer 2

360
—— = ext. angle
n

Question 3

What is the exterior angle of a regular pentagon?

Answer 3

Ext = 360
—— = 72°
5

Question 4

What is the interior angle of regular quadrilateral

Answer 4

ext = 360
—— = 90°
4

Int = 180 - exterior
= 180 - 90°
= 90

Question 5

What is the name of the regular polygon that polygon that has an interior angle of 144°

Answer 5

Ext = 180 - int
= 180 - 144
= 36°

360
—— = 10°
36

Question 6

What is the exterior angle of a regular octagon

Answer 6

Ext = 360
—— = 45
8

Question 7

What is the interior angle of a regular decagon ?

Answer 7

Ext = 360
—— = 36°
10

Int = 180° - exterior
= 180 - 36
= 144°

Question 8

What is the name of the regular polygon whose interior angles are all 120°

Answer 8

Ext = 180 - int
= 180 - 120
= 60

360
—— = 6
60