Sum interior angles = (number of sides - 2) × 180° = (36 - 2) × 180° = 6120°
Interior angles = 170 degrees so exterior angles = 180 - 170 = 10 degrees Sum of exterior angles = 360 so there must be 360/10 = 36 of them. It is a 36 sided polygon.
The exterior angles of any polygon including a 36 sided polygon always add up to 360 degrees.
360/10 = 36 sides
It is: 360/36 = 10 sided regular decagon polygon
The interior angles of a 36 sided polygon add up tp 6120 degrees
Sum interior angles = (number of sides - 2) × 180° = (36 - 2) × 180° = 6120°
Interior angles = 170 degrees so exterior angles = 180 - 170 = 10 degrees Sum of exterior angles = 360 so there must be 360/10 = 36 of them. It is a 36 sided polygon.
They would add up to 6120 degrees
162o. Method 1: Sum of interior angles of n-sided polygon = (2n - 4) right angles. In this case n = 20 so total of interior angles is 36 x 90o. Assuming polygon is regular then each interior angle is (36 x 90) divided by 20 = 3240/20 = 162. Method 2: Exterior angles of regular n-sided polygon = 360/n which in this case = 360/20 =18. Straight line is 180o so interior angle = (180 - exterior angle) = 180 - 18 = 162.
The interior angles are 144o, so the exterior angles are 36 degrees
The interior angles of any n-sided polygon total (2n - 4) right angles. In this case n = 20 so angles total 36 x 90 degrees ie 3240 degrees. If it's a regular figure each angle is 162 degrees.
Interior angles of n-sided polygon total (2n - 4) right angles, in this case 16 x 90 degrees, so each angle is 16 x 90/10 ie 144 degrees. Exterior angle is 180 - 144 ie 36 degrees.
36 degrees
The sum of the interior angles would be (36-2)180 degrees=6120 degrees.
N sided polygon interior angles total 180n - 360, if it is regular then each angle is 180 - 360/n which in this case = 170 Multiply throughout by n: 180n - 360 = 170n ie 10n = 360 so your polygon is regular and 36 sided.
The exterior angles of any polygon including a 36 sided polygon always add up to 360 degrees.