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WAEC Physics 2015 Paper
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© africaexams.com
Question : 50
Total: 50
Two angles of a pentagon are in the ratio 2:3. The others are 60
o
each. Calculate the smaller of the two angles
72
o
100
o
120
o
144
o
Validate
Solution:
The diagram given simple illustrates that a pentagon contains three
∆
s.
Two angles which are in the ratio 2:3 will have actual values 2x
o
, 3x
o
respectively. Thus 2x
o
+ 3x
o
+ 3 x 60 = 3x sum of angles of
∆
a
i.e. 5x
o
+ 180
o
= 3 x 180
o
5x
o
+ 180
o
= 540
o
5x
o
= 540
o
- 180
o
5x
o
= 360
o
x
o
=
360
o
5
= 72
o
Hence, the smaller of the two angles is
2 x 72
o
= 144
o
© africaexams.com
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