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Question

Two angles of a hexagon are 120o and 160o. If the remaining four angles are equal, find each equal angle.

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Solution

Two angles of a hexagon are /120o, 160o

Let remaining four angles be x, x, x and x.

Their sum =4x+280o

But sum of all the interior angles of a hexagon

=(62)×180o=4×180o=270o4x+280o=720o4x=720o280o=440ox=110oEqual angles are 110o(each)


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