WAEC - Mathematics (2018 - No. 42)
In the diagram, PQ//RS. Find x in terms of y and z
x = 240\(^o\) - y - z
x = 180\(^o\) - y - z
x = 360\(^o\) + y -z
x = 360\(^o\) - y - z
Explanation
In the diagram,
a = z (alternate angles)
b = 180\(^o\) - a (angles on a straight line)
b = 180\(^o\) - z
c = 180\(^o\) - x (angles on a straight line)
y = b + c (sum of oposite interior angles)
y = 180\(^o\) - z + 180\(^o\) - x
y = 360\(^o\) - z - x
x = 360\(^o\) - y - z
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