Question

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

Answer 1

Answer:

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.