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Find the value of x in the diagram

Find the value of x in the diagram
  • A.
    10o
  • B.
    28o
  • C.
    36o
  • D.
    44o
Correct Answer: Option B
Explanation

The sum of angles at point = 360o
(x+10)o + (4x+50)o + 20o + 3xo + 2xo = 360o
10x + 80o = 360o
10x = 360o – 80o = 280o
(frac{280}{10}=28^{circ})