Advertisements
Advertisements
Question
Find the number of side of a regular polygon, when of its angle has a measure of 175° .
Advertisements
Solution
\[ \text{ Each interior angle } = \left( \frac{2n - 4}{n} \times 90 \right)^° \]
\[So, \left( \frac{2n - 4}{n} \times 90 \right)^° = 175° \]
\[ \Rightarrow \frac{2n - 4}{n} = \frac{175° }{90° }\]
\[ \Rightarrow \frac{2n - 4}{n} = \frac{35}{18}\]
\[ \Rightarrow 36n - 72 = 35n\]
\[ \therefore n = 72\]
RELATED QUESTIONS
How many sides does a regular polygon have if each of its interior angles is 165°?
Classify the following curve as open or closed:
Find the number of degrees in each exterior exterior angle of a regular pentagon.
What is the sum of all angles of a hexagon?
The number of diagonals in a hexagon is ______.
A regular polygon is a polygon whose all sides are equal and all ______ are equal.
The measure of ______ angle of concave quadrilateral is more than 180°.
is a polygon.
is a concave pentagon.
Find the measure of an are exterior angle of a regular pentagon and an exterior angle of a regular decagon. What is the ratio between these two angles?
