A quadrilateral.
A Regular Polygon
octagon interior=135 exterior=45
Hint: in a regular polygon interior plus exterior = 180o, always.
It is a regular 8 sided octagon whose interior angles are 135 degrees and its exterior angles are 45 degrees
The interior angles add up to 360 degrees.
A Regular Polygon
octagon interior=135 exterior=45
An equilateral triangle.
Square or rectangle
Hint: in a regular polygon interior plus exterior = 180o, always.
The easiest way to solve this is to use the exterior angles of the polygon. The sum of an exterior angle and interior angle is 180o. Also the sum of all the exterior angles of a polygon is 360o. As the polygon is regular, all the interior angles are the same and all the exterior angles are the same. So, for an interior angle of 172o the exterior angle is 180-172 = 8o. The sum of all the exterior angles is 360o so how many 8o make up 360o? 360/8=45. Thus the polygon with interior angles of 172o has 45 sides.
Interior angles 178 so exterior angles 2. Number of sides of any regular polygon = 360/exterior angle You polygon has 180 sides. Bet you're glad you didn't have to sketch it!
4 such as a square
Exterior angles are supplementary with interior angles, so 180-30=150
If exterior angles are 120 then interior angles must be 60 so you have an equilateral triangle
If the polygon has n sides, each exterior angle is 360/n degrees.The interior angle is 180 less exterior angle.
Exterior angle regular polygon = 360° ÷ number of sides = 360° ÷ W Interior angle regular polygon = 180° - exterior angle regular polygon = 180° - (360° ÷ number of sides ) = 180° - (360° ÷ W)