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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.
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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 Adjacent angles .
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In Fig. 16.19, ABCD is a quadrilateral.
Name a pair of opposite angles.
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∠AOB = (∠C + ∠D)
Two opposite angles of a parallelogram are 100° each. Find each of the other two opposite angles.
In parallelogram ABCD, ∠A = 90°
(i) What is the measure of angle B.
(ii) Write the special name of the parallelogram.
The number of right angles in a straight angle is ______ and that in a complete angle is ______.
Using the information given, name the right angles in part of figure:
RT ⊥ ST
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AC ⊥ BD
Draw a rough sketch of a quadrilateral KLMN. State two pairs of opposite angles.
