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WAEC Mathematics 2016 Paper
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© africaexams.com
Question : 45
Total: 49
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
Validate
Solution:
Let a represent an interior angle; e represent an exterior angle. A section of the polygon is down in the diagram.
e
a
=
l
11
given
a = 11e
a + e = 180
o
(angles on a straight line)
11e + e = 180
o
12e = 180
o
e =
180
o
12
= 15
o
Hence, number of sides
=
360
o
tect
s
i
z
e
o
f
o
n
e
e
x
t
e
r
i
o
r
a
n
g
l
e
=
360
o
14
o
= 24
© africaexams.com
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