All the angles of a quadrilateral are equal to each other. Find the me

1.	All the angles of a quadrilateral are equal to each other. Find the measure of each. Is the quadrilateral a parallelogram? What special type of parallelogram is it?
Answer» Let us consider each angle of a parallelogram as x° We know that sum of angles = 360° x° + x° + x° + x° = 360° 4 x° = 360° x° = 360°/4 = 90° ∴ Measure of each angle is 90° Yes, this quadrilateral is a parallelogram. Since each angle of a parallelogram is equal to 90°, so it is a rectangle.

All the angles of a quadrilateral are equal to each other. Find the measure of each. Is the quadrilateral a parallelogram? What special type of parallelogram is it?

Answer»

Let us consider each angle of a parallelogram as x°

We know that sum of angles = 360°

x° + x° + x° + x° = 360°

4 x° = 360°

x° = 360°/4

= 90°

∴ Measure of each angle is 90°

Yes, this quadrilateral is a parallelogram.

Since each angle of a parallelogram is equal to 90°, so it is a rectangle.