The interior angle of a regular polygon is five times the...
The interior angle of a regular polygon is five times the size of its exterior angle. Identify the polygon.
dodecagon
enneadecagon
icosagon
hendecagon
Correct answer is A
An interior angle of a regular polygon = \(\frac{(2n-4)\times 90}{n}\)
An exterior angle of a regular polygon = \(\frac{360}{n}\)
\(\frac{(2n-4)\times 90}{n}\) =5 \(\times\) \(\frac{360}{n}\) (Given)
= (2n-4) x 90 = 5 x 360
= 180n - 360 = 1800
= 180n = 1800 + 360
= 180n = 2160
= n = \(\frac{2160}{180}\) = 12
The polygon has 12 sides which is dodecagon
If s = \(\sqrt{(\frac{a^2}{x^2} - \frac{b^2}{y^2})}\)what does y equal?...
If 0.0000152 x 0.042 = A x 108, where 1 \(\leq\) A < 10, find A and B...
Find the 17term of the Arithmetic Progression (A.P):-6,-1,4 ...
Factorize 4a\(^2\) - 9b\(^2\)...
If y = (1 - 2x)\(^3\), find the value of dy/dx at x = -1 ...
If (25)x - 1 = 64(\(\frac{5}{2}\))6, then x has the value...
In the diagram above, M, N, R are points on the circle centre O. ∠ORN = 48° and &a...