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



In the diagram, the value of x + y = 220o. Find the value of n
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  • A 20o
  • B 40o
  • C 60o
  • D 80o
Correct Answer: Option B
Explanation:
y + z = 180o
z = 180o - y
x + k = 180o
k = 180o - x
the sum of angles in the \(\bigtriangleup\) are: n + z + k = 180
but n + 180o - y + 180o - x = 180o
n + 180o - y - x = 0
but we want to find n
n + 180o = x + y
but x + y = 220o
n + 180o = 220o
n = 220o - 180o
n = 40o

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