Question

A quadrilateral has all its four angles of same measure. What is the measure of each angle?
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Answer 1

Step-by-step explanation:

let the each of the angle be x

then,

x+x+x+x = 180°(angle sum property)

4x =180°

X =180/4

x= 45°

each angle =45°

Answer 2

Measure of each angle of quadrilateral will be 90°.

Step-by-step explanation :

Given:-

• All four angles of quadrilateral are of same measure.

To find:-

• Measure of each angle.

Solution:-

Let, One angle be 'x'.

If one is 'x' then all will be 'x' beacuse all angles of quadrilateral are of same measure.

We know that,

Sum of all angles of quadrilateral is 360°.

So,

➝ x + x + x + x = 360°

➝ 4x = 360°

➝ x = 360°/4

➝ x = 90°

Verification:-

➝ x + x + x + x = 360°

• Put x = 90°

➝ 90° + 90° + 90° + 90° = 360°

➝ 360° = 360°

Hence, Verified.

Therefore,

Each angle of quadrilateral is of 90°.