Question

All the angles of Quandrilateral Are equal to Each other.Find the measure of each! Is the Quandrilateral a Parallelogram? What special type of Parallelogram it is.​

Answer 1

Answer:

Let's consider each angle as " x"

We know that sum of all angles of parallelogram = 360°

$\begin{gathered}:\implies\sf{ x° + x° + x° + x° = 360°}\\ \\ \\ :\implies\sf{ 4x = 360°} \\ \\ \\ :\implies\sf{x =}\dfrac{ 360}{4}\\ \\ \\ :\implies\sf{90°}\end{gathered}$

Therefore, measure of Each angle is 90°

Yes, this quadrilateral is a parallelogram

Since each angle of Parrallelogram is equal it is a rectangle :)

Answer 2

=> We know that the sum of the angles of the quadrilateral is 360⁰

=> Now, the quadrilateral in given question has all angles equal.

∴  Each angle = 360⁰ ÷ 4 = 90⁰

=> So, this quadrilateral would be rectangle or a square.

I hope this will help you dear..

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