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Find the value of x in the diagram.


Question

Find the value of x in the diagram.

Options

A) 50o

B) 30o

C) 22o

D) 17o

The correct answer is D.

Explanation:

Sum of exterior angles of a polygon = 360o

(x + 64) + 2x + (3x - 54) + 5x + 4x + 3x + (2x + 10) = 360o

20x + 20 = 360o

20x + 360 - 20 = 340o

x = \(\frac{340}{20}\)

x = 17o


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Dicussion (1)

  • Sum of exterior angles of a polygon = 360o

    (x + 64) + 2x + (3x - 54) + 5x + 4x + 3x + (2x + 10) = 360o

    20x + 20 = 360o

    20x + 360 - 20 = 340o

    x = \(\frac{340}{20}\)

    x = 17o

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