Three angles of a quadrilateral are equal,fourth angle is right angle . Find the measures of the angles.Classify the quadrilateral as convex, concave, trapezium etc.
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The three angles are equal, let each be equal to x.
Therefore the sum of the three angles is 3x.
The fourth angle is right angle = 90 degrees
total sum of angles of a quadrilateral = 360
therefore the sum of the angles = 360 - 90 = 270
Hence 3x = 270
x = 90 degrees.
That means all the angles of this quadrilateral are 90 degrees.
This quadrilateral is either a square or a rectangle.
Therefore the sum of the three angles is 3x.
The fourth angle is right angle = 90 degrees
total sum of angles of a quadrilateral = 360
therefore the sum of the angles = 360 - 90 = 270
Hence 3x = 270
x = 90 degrees.
That means all the angles of this quadrilateral are 90 degrees.
This quadrilateral is either a square or a rectangle.
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