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Question
One angle of a quadrilateral is of 108º and the remaining three angles are equal. Find each of the three equal angles.
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Solution
Let the remaining three equal angles be x.
We know,
Sum of all interior angles of a quadrilateral is 360º
∴ 108º + x + x + x = 360º
108º + 3x = 360º
3x = 360º – 108º
3x = 252º
x = `252^circ/3`
x = 84º
∴ Each of three equal angles, x = 84º.
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