Mathematics
WAEC 2016
In the diagram, O is the centre of the circle, < XOZ = (10cm)
o and < XWZ = m
o. Calculate the value of m.
Correct Answer: Option A
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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