In the diagram, the value of x + y = 220°. Find the value of

MATHEMATICS

WAEC 2014

In the diagram, the value of x + y = 220°. Find the value of n

A. 20°
B. 40°
C. 60°
D. 80°

Correct Answer: B. 40°

Explanation

y + z = 180^o

z = 180^o - y

x + k = 180^o

k = 180^o - x

the sum of angles in the \(\bigtriangleup\) are: n + z + k = 180

but n + 180^o - y + 180^o - x = 180^o

n + 180^o - y - x = 0

but we want to find n

n + 180^o = x + y

but x + y = 220^o

n + 180^o = 220^o

n = 220^o - 180^o

n = 40^o

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