Question

a regular polygon has 12 sides
(a) Find the sum of the interior angles
(b) Find the size of each its
(1) Interior angle
(2) Exterior angle

Answer 1

Answer:

formula to find sum of interior angles is (n-2)*180

so n is no. of sides12-2*180

10*180

the sum of its interior angles is 1800

and sum of exterior angle of every polygon is 360 remember this dude it is very important as this topic comes in exam 2 questions 3 and 1 marks each (varies upon school )

remember the formula and the theorem

Answer 2

Answer:

a) 1800°

b) 1) 150°

2)

Step-by-step explanation:

a) The formula for the sum of interior angle of any regular polygon is (n-2)*180° where n is the number of sides.

Therefore,

(12-2)*180°

=10*180°

=1800°

b) 1) Interior angle of any regular polygon = {(n-2)*180°} ÷ n

=1800°- 12

=150°

2) Exterior angle of any regular polygon = 360÷n

=360°÷12

=30°

Hope this help you