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

Correct Answer: Option B

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