In the diagram, the value of x + y = 220o. Find the value of n
Attached Figure / Diagram
A
20o
B
40o
C
60o
D
80o
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #37002)