Advertisements
Advertisements
प्रश्न
Find the number of side of a regular polygon, when of its angle has a measure of 135° .
Advertisements
उत्तर
\[\text{ Each interior angle }= \left( \frac{2n - 4}{n} \times 90 \right)^° \]
\[So, \left( \frac{2n - 4}{n} \times 90 \right)^° = 135° \]
\[ \Rightarrow \frac{2n - 4}{n} = \frac{135° }{90° }\]
\[ \Rightarrow \frac{2n - 4}{n} = \frac{3}{2}\]
\[ \Rightarrow 4n - 8 = 3n\]
\[ \therefore n = 8\]
APPEARS IN
संबंधित प्रश्न
Find the measure of each exterior angle of a regular polygon of 9 sides.
Draw rough diagram to illustrate the following Closed curve .
Illustrate, if posible, one of the following with a rough diagram:
A colsed curve that is not a polygon.
Find the number of side of a regular polygon, when of its angle has a measure of 160° .
How many diagonals does a hexagon have?
Which of the following is an equiangular and equilateral polygon?
The number of sides of a regular polygon whose each interior angle is of 135° is ______.
The measure of ______ angle of concave quadrilateral is more than 180°.
A nonagon has ______ sides.
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?
