Question

The interior angles of a regular polygon measure 160 each. The number of diagonals of polygon are

Answer 1

Answer:

if the interior angle is 160°

exterior angle is 20°

360/20=18 sides

Answer 2

Answer: 135

Step-by-step explanation:

Internal Angle = 160°

External Angle = 20° (180° - 160°)

Now, Number of Sides = 18 (360° ÷ 20°)

and Number of Diagonals = ⁿC₂ - n  (where n is number of sides)

                                             = ((18 x 17) / 2) - 18

                                              = 153 - 18 = 135