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In the diagram lt WOX 60o lt YOE 50o and lt OXY... - WAEC Mathematics 2010 Question

In the diagram, < WOX = 60o, < YOE = 50o and < OXY = 30o. What is the bearing of x from y?
A
300o
B
240o
C
190o
D
150o
correct option: a

The bearing of x from y = 270o + (\theta)

where (\theta) + 50o = y

in (\bigtriangleup) OXY

O + X + Y = 180o

Where O = 40o + 30o = 70o

70o + 30o + y = 180o

y + 100o = 180o

y = 180o - 100o = 30o

(\theta) + 50o = 80o

80o - 50o = 30o

The bearing of x from y = 270o + 30o = 300o

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