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\(^o\)
The correct answer is: B
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