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Bunuel

In the figure above, what is the value of x ?

A. 50
B. 70
C. 80
D. 90
E. 100


PS21152

Solution


    • Let us assume that the remaining one interior angle of the quadrilateral measures y degrees, as shown in the below figure.

    • Also, we know that the sum of all the interior angles of a quadrilateral \(= 360°\)
      o \(50° + 120° + 90° + y° = 360° ⟹ y° =100°\)
    • Since, x and y are straight angles,
      o So, \(x° + y° = 180° ⟹ x° + 100° = 180° ⟹ x° = 80°\)
Thus, the correct answer is Option C.
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