Question

the inner angle of a polygon is three more than thrice the outer angle find the measure of the inner and outer angle of the polygon?​

Answer 1

Answer:

The inner angle and outer angle together are 180 ∘.

So if the inner angle is thrice the outer angle, then the outer angle is 45 ∘ and the inner angle is 135 ∘.

For any polygon, the sum of all outer angles is 360 ∘ , so the number of angles and thus the number of sides is 360/45=8.

Answer 2

Answer:

The measure of an interior angle of a regular polygon is 20 more than thrice the measure of its adjacent exterior angle. Find the number of sides of the polygon and its total number of diagonals.