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 = (2n−4)×90n
An exterior angle of a regular polygon = 360n
(2n−4)×90n =5 × 360n (Given)
= (2n-4) x 90 = 5 x 360
= 180n - 360 = 1800
= 180n = 1800 + 360
= 180n = 2160
= n = 2160180 = 12
The polygon has 12 sides which is dodecagon
The angles of a pentagon are x°, 2x°, (x + 60)°, (x + 10)°, (x -10)°. ...
Express the quotient of 0.422 and 0.004 in standard form ...
The length of a piece of stick is 1.75 m. A boy measured it as 1.80 m. Find the percentage erro...
In the diagram, PR is a diameter, ∠PRQ = (3x-8)° and ∠RPQ = (2y-7)°. Find x in terms...
The angle subtended by a diameter of a circle at the circumference is a/an ...