Advertisements
Advertisements
प्रश्न
The sum of the interior angles of a polygon is three times the sum of its exterior angles. Determine the number of sided of the polygon.
Advertisements
उत्तर
\[\left\{ \left( 2n - 4 \right) \times 90° \right\} = 3 \times \left( \frac{360° }{n} \times n \right)\]
\[ \Rightarrow \left( n - 2 \right) \times 180 = 3 \times 360\]
\[ \Rightarrow n - 2 = 6\]
\[ \therefore n = 8\]
संबंधित प्रश्न
In a quadrilateral, define of the following Opposite angles .
Three angles of a quadrilateral are equal. Fourth angle is of measure 150°. What is the measure of equal angles.
PQRSTU is a regular hexagon. Determine each angle of ΔPQT.
In the given figure, PQRS is an isosceles trapezium. Find x and y.

Complete the following statement by means of one of those given in brackets against each:
If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is ................
Observe the figure below and find out their name.

A quadrilateral can be drawn when all the four angles and one side is given.
In the following figure, What is AC – EC?

What conclusion can be drawn from part of given figure, if BD bisects ∠ABC?

An angle is said to be trisected, if it is divided into three equal parts. If in the following figure, ∠BAC = ∠CAD = ∠DAE, how many trisectors are there for ∠BAE?

