Math Problem Statement
Find the exterior angle for a regular polygon with 9 sides.
أوجد قياس الزاوية الخارجية لمضلع منتظم ذي 9 أضلاع
A.
40°
B.
30°
C.
20°
D.
10°
Solution
The exterior angle of a regular polygon can be found using the formula:
where is the number of sides of the polygon.
Given that the polygon has 9 sides, we can substitute into the formula:
Thus, the exterior angle for a regular polygon with 9 sides is .
The correct answer is A. 40°.
Would you like more details or have any questions about this?
Here are some related questions:
- How do the interior and exterior angles of a regular polygon relate to each other?
- What is the sum of the interior angles for a polygon with 9 sides?
- Can a regular polygon have an exterior angle less than 10°?
- How many diagonals does a polygon with 9 sides have?
- What is the name of a polygon with 9 sides?
- If the exterior angle of a polygon is 30°, how many sides does it have?
- What is the formula for finding the interior angle given the number of sides?
- How does the exterior angle change as the number of sides increases?
Tip: The exterior angle and the interior angle of a regular polygon are complementary, meaning they add up to .
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Polygons
Formulas
Exterior Angle of a Regular Polygon: 360° / n
Theorems
-
Suitable Grade Level
Grades 7-9