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In the diagram above calculate the value of x

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