A regular polygon has interior angle \(160^\circ\) How many sides does it have?
A regular polygon has interior angle \(160^\circ\) How many sides does it have?
एक समबहुभुज का आंतरिक कोण \(160^\circ\) है। इसमें कितनी भुजाएँ हैं?
Detailed Solution & Logic
Correct Answer:
18
$ \dfrac{(n-2)\times 180^\circ}{n}=160^\circ $
$ 180n-360=160n $
20n=360
n=18
Similar Practice Questions
If sin A = x, then what is the value of tanA in terms of x?
If sin A = x, then what is the value of tanA in terms of...
If one angle is twice the other and they are complementary, find the angles
If one angle is twice the other and they are complementary, find the angles अगर...
The Incenter of a tringle is located at (3,4). The length of the altitude from the Incenter to side AB is 2 units. What is the radius of the triangle ‘s incircle?
The Incenter of a tringle is located at (3,4). The length of the altitude from...
If sin x = cos $(2x – 10^\circ)$, find the Value of x.
If sin x = cos $(2x – 10^\circ)$, find the Value of x. यदि sin...
The sum of the interior angles of a regular polygon is six times the sum of its exterior angles. Determine the number of diagonals in the polygon.
The sum of the interior angles of a regular polygon is six times the sum...
At an intersection of two lines, two angles are vertically opposite. If one of the angles measures \(45^\circ\), what is the measure of the other angle?
At an intersection of two lines, two angles are vertically opposite. If one of the...
A triangle with sides 5cm, 12cm, and 13 cm has an inradius of 2 cm. What is its area?
A triangle with sides 5cm, 12cm, and 13 cm has an inradius of 2 cm....