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WAEC - Mathematics (2016 - No. 24)
In the diagram, O is the centre of the circle, < XOZ = (10cm)
o
and < XWZ = m
o
. Calculate the value of m.
30
36
40
72
Explanation
In the diagram above, \(\alpha\) = 2m
o
(angle at centre = 2 x angle at circumference)
\(\alpha\) + 10m
o
= 360
o
(angle at circumference)
\(\alpha\) + 10m
o
= 360
o
(angles round a point)
2m
o
+ 10m
o
= 360
o
12m
o
= 360
o
m
o
= \(\frac{360^o}{12}\)
= 30
o
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