One angle of a quadrilateral is of 108°

Question:

One angle of a quadrilateral is of 108° and the remaining three angles are equal. Find each of the three equal angles.

Thinking Process

The sum of all the angles In a quadrilateral is 360°, use this result and simplify it.

Solution:

Let each of the three equal angles be x°.

Now, sum of angles of a quadrilateral = 360°

=> 108° + x° + x° + x° = 360° => 3x° = 360° – 108°

x° = 252°/3

=> x° = 84°

∴  x° = 84°

Hence, each of the three equal angles is 84°.

 

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