SOLUTION: True OR FALSE!!>>if all angles of quadrilateral are congruent then the quadrilateral is a rectangle?

Question 519245: True OR FALSE!>if all angles of quadrilateral are congruent then the quadrilateral is a rectangle?

Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
The sum of the interior angles of a polygon = (n-2)*180, when n = number of sides.
Given the polygon has four sides,
Then the four interior angles total (4-2)*180 = 2*180 = 360 degrees.
.
Note a four-sided polygon is called a quadrilateral.
.
Congruent angles are equal.
Given the angles are congruent,
Then the four interior angles are 360/4 = 90 degree each.
.
A quadrilateral with four 90-degree interior angles is a rectangle.
.
Done.
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