What is the ratio of interior and exterior angles?

The ratio between exterior and interior angle of a regular polygon is 1:4.

What is the ratio of the interior angle to the exterior angle of an octagon?

Answer-3:1 is the ratio of an angle of a regular octagon to its exterior angle.

What is the sum of exterior angle and interior angle?

To prove: The sum of an interior angle and its corresponding exterior angle is 180°.

What is the ratio of the interior angles of a pentagon and decagon?

the ratio of the sum of the interior angles of a pentagon to the sum of the interior angles of a decagon is (3 * 180) / (8 * 180). this results in 3/8.

What is the ratio between interior and exterior angle of a polygon?

The ratio between interior and exterior angle of a regular polygon is 1:4. Find the number of sides of the polygon. therefore, the exterior angle is X/4. The number of sides of a regular polygon is 10. Was this answer helpful?

How do you find the interior angle of a nonagon?

Hence exterior angle is 20*2 = 40 degrees and the interior angle 20*7 = 140. The number of sides of the regular polygon = 360/40 or 9 sides. Check: A nonagon has 9 sides. Sum of the interior angles = (2n-4)*90 = (18–4)*90 = 14*90 = 1260 degrees. So each interior angle = 1260/9 = 140 degrees. Correct.

How many interior angles does a convex polygon have?

One interior angle of a convex polygon (a convex polygon is a polygon where all angles are less than 180 degrees) is 120 degrees. All the other angles are 130 degrees. How many sides does the polygon have? One exterior angle is 180 ∘ − 120 ∘ = 60 ∘.

What is the number of sides of a regular polygon?

7+2 = 9. 180/9 = 20. Hence exterior angle is 20*2 = 40 degrees and the interior angle 20*7 = 140. The number of sides of the regular polygon = 360/40 or 9 sides. Check: A nonagon has 9 sides.