The ratio of the exterior angle to the interior angle of ...
The ratio of the exterior angle to the interior angle of a regular polygon is 1:11. How many sides has the polygon?
30
24
18
12
Correct answer is B
Let a represent an interior angle; e represent an exterior angle. A section of the polygon is down in the diagram.
ea = l11 given
a = 11e
a + e = 180o(angles on a straight line)
11e + e = 180o
12e = 180o
e = 180o12
= 15o
Hence, number of sides
= \frac{360^o}{\tect{size of one exterior angle}
= 360o14o
= 24
Similar Questions
Solve the inequality x - 1 > 4(x + 2) ...
A ladder 9m long leans against a vertical wall, making an angle of 64° with the horizontal ...
If the volume of a cube is 343cm3, find the length of its side...
Simplify; 3x - (p - x) - (r - p)...
Without using table, calculate the value of 1 + sec2 30o...
The probability of an event P happening is 15 and that of event Q is 14. I...
What is the probability that an integer x,(1 ≤ x ≤ 20) chosen at random is divisible b...