WAEC - Mathematics (2016 - No. 24)

In the diagram, O is the centre of the circle, < XOZ = (10cm)o and < XWZ = mo. Calculate the value of m.
30
36
40
72

Explanation

In the diagram above, \(\alpha\) = 2mo (angle at centre = 2 x angle at circumference)

\(\alpha\) + 10mo = 360o (angle at circumference)

\(\alpha\) + 10mo = 360o(angles round a point)

2mo + 10mo = 360o

12mo = 360o

mo = \(\frac{360^o}{12}\)

= 30o

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