Question

ost: Find the sum of the interior angles of each of the following polygons.
(0) 12 con
10) 15-gon
(d) 20-gon​

Answer 1

Answer:

12-gon-->1800°

15-gon-->2340°

20-gon-->3240°

Step-by-step explanation:

the formula is (n-2)×180°

using this formula,the question can be solved

Answer 2

Step-by-step explanation:

Sum of polygon interior angles = (n - 2)

Sum of polygon interior angles = (n - 2)180°

a) 12-gon

Sum = (12-2) 180°

= 10 × 180°

= 1800°

b) 15-gon

Sum = (15 - 2) × 180°

= 13 × 180°

= 2340°

c) 20-gon

Sum = (20 - 2) × 180°

= 18 × 180°

= 3240°

Additional Information:

Sum of polygon interior angles = (n - 2) × 180°

Polygon interior angles = [(n - 2) × 180°]/n

Exterior angle = 180° - Interior angle

Sum of angles = n × Exterior angle