Mathematics

In the diagram above calculate the value of x

In the diagram above calculate the value of x
  • A.
    60o
  • B.
    100o
  • C.
    120o
  • D.
    140o
Correct Answer: Option C
Explanation

p + 40o = 100o (exterior ∠ = sum of two interior opp ∠s)
p = 100o – 40o
P = 60o
But q + p = 180o (∠s on a straight line)
q + 60o
q = 180o – 60o
q = 120o
x = q (corresponding ∠)
∴x = 120o