Advertisements
Advertisements
प्रश्न
Find the number of side of a regular polygon, when of its angle has a measure of 150° .
Advertisements
उत्तर
\[ \text{ Each interior angle } = \left( \frac{2n - 4}{n} \times 90 \right)^° \]
\[So, \left( \frac{2n - 4}{n} \times 90 \right)^° = 150° \]
\[ \Rightarrow \frac{2n - 4}{n} = \frac{150° }{90° }\]
\[ \Rightarrow \frac{2n - 4}{n} = \frac{5}{3}\]
\[ \Rightarrow 6n - 12 = 5n\]
\[ \therefore n = 12\]
APPEARS IN
संबंधित प्रश्न
How many sides does a regular polygon have if the measure of an exterior angle is 24°?
Can it be an interior angle of a regular polygon? Why?
Draw rough diagram to illustrate the following Open curve .
Following are some figures: Classify each of these fugures on the basis of the following:
(i) Simple curve
(ii) Simple closed curve
(iii) Polygon
(iv) Convex polygon
(v) Concave polygon
(vi) Not a curve
State the name of a regular polygon of 4 sides.
Which of the following is an equiangular and equilateral polygon?
The measure of each exterior angle of a regular pentagon is ______.
The measure of each angle of a regular pentagon is ______.
ABCDE is a regular pentagon. The bisector of angle A meets the side CD at M. Find ∠AMC.
Find the measure of each angle of a regular octagon.
