Question

the measure of each of the four angles of a quadrilatrel are equal. find the measure of each angle.​

Answer 1

Answer:

The measure of each angle is 90 degree .

Step-by-step explanation:

As we have a quadrilateral , which has all its angle equal.

So let all the angles be x degree

So as we know the sum of all angles of a quadrilateral is 360 degree

So it will be  => x + x + x + x = 360 degree

                         4x = 360

                         x = $\frac{360}{4}$

                           x = 90 , is the required answer

Answer 2

Given :

• Measure of each of the four angles of a quadrilateral are equal .

To Find :

• Measure of each angle .

Solution :

Let each angle of a quadrilateral as x .

Now , As we know that Sum of all angles of a quadrilateral is 360° . So ,

$\longmapsto\tt{x+x+x+x=360^{\circ}}$

$\longmapsto\tt{4x=360^{\circ}}$

$\longmapsto\tt{x=\cancel\dfrac{360}{4}}$

$\longmapsto\tt\bf{x=90}$

So , The Measure of each angle of a Quadrilateral is 90° .

_______________________

VERIFICATION :

$\longmapsto\tt{x+x+x+x=360^{\circ}}$

$\longmapsto\tt{90^{\circ}+90^{\circ}+90^{\circ}+90^{\circ}=360^{\circ}}$

$\longmapsto\tt\bf{360^{\circ}=360^{\circ}}$

HENCE VERIFIED