WAEC - Mathematics (2020 - No. 39)
In the diagram, PQ is a straight line. If m = \(\frac{1}{2}\) (x + y + z), find value of m.
45\(^o\)
60\(^o\)
90\(^o\)
100\(^o\)
Explanation
x + y + m + z = 180º
but m = \(\frac{1}{2}\)(x + y + z)
2m = ( x + y + z )
Thus ( x + y + z) + m = 180º
(2m) + m = 180º
3m = 180º
m = \(\frac{180º}{3}\) = 60º
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