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Three angles of a quadrilateral are equal and the fourth angle is equal to 144°. Find each of the equal angles of the quadrilateral.

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Let each equal angle of given quadrilateral be x.

We know that, sum of all interior angles of a quadrilateral is 360°.  

∴ x + x + x + 144° = 360°

3x + 144° = 360°

3x = 360° - 144° 

3x = 216°  

x = 72°  

Hence each equal angle of the quadrilateral is of 72° measures.

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