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
\[\left\{ \left( 2n - 4 \right) \times 90° \right\} = 3 \times \left( \frac{360° }{n} \times n \right)\]
\[ \Rightarrow \left( n - 2 \right) \times 180 = 3 \times 360\]
\[ \Rightarrow n - 2 = 6\]
\[ \therefore n = 8\]
APPEARS IN
संबंधित प्रश्न
Complete the following statement by means of one of those given in brackets against each:
A line drawn from the mid-point of one side of a triangle .............. another side intersects the third side at its mid-point.
Complete the following statement by means of one of those given in brackets against each:
f consecutive sides of a parallelogram are equal, then it is necessarily a ..................
Use the following figure to find the value of x
If three angles of a quadrilateral are 90° each, show that the given quadrilateral is a rectangle.
Observe the figure below and find out their name.
Observe the figure below and find out their name.
Find the angles of a pentagon which are in the ratio 4: 4: 6: 7: 6.
ΔPQR and ΔSQR are on the same base QR with P and S on opposite sides of line QR, such that area of ΔPQR is equal to the area of ΔSQR. Show that QR bisects PS.
Measures of the two angles between hour and minute hands of a clock at 9 O’ clock are ______.
In the following figure, What is AC – EC?
