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Find the size of the angle marked x in the diagram.


Question

Find the size of the angle marked x in the diagram.

Options

A) 108o

B) 112o

C) 128o

D) 142o

The correct answer is C.

Explanation:

x + 52o = 90

x = 90 - 52

x = 38o

k = opposite angle Z

k = 38o

y + k = 90o

y + 38o = 90o

y = 90o - 38o

y = 52o

y = x = 180o(sum of angles on straight line)

52 + x = 180o

x = 180 - 52

x = 128


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Dicussion (1)

  • x + 52o = 90

    x = 90 - 52

    x = 38o

    k = opposite angle Z

    k = 38o

    y + k = 90o

    y + 38o = 90o

    y = 90o - 38o

    y = 52o

    y = x = 180o(sum of angles on straight line)

    52 + x = 180o

    x = 180 - 52

    x = 128

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