Question

A quadrilateral has all its four angles of some measure. What is the measure of each angle? ​

Answer 1

Given:-

• A quadrilateral has all its four angles of same measure.

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To find:-

• Measure of each angle.

⠀

Solution:-

We know that,

• Sum of angles of a quadrilateral = 360°

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Let,

• each angle be x.

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⇛ x + x + x + x = 360°

⇛ 4x = 360°

⇛ x = 360°/4

⇛ x = 90°

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Hence,

• the measure of each angle is 90°.

Answer 2

⛦ Given :

• All the four angles of a quadrilateral are of equal measure.

⛦ To find :

• The measure of each angle.

⛦ Solution :

As we know that,

All the four angles of a quadrilateral is 360°

And here it is given that all four angles are equal.

•Let one of the angle of quadrilateral be x

So,

Sum of all angles(quadrilateral) = 360°

⟼ x + x + x + x = 360°

⟼ 4x = 360°

⟼ x = 360/4

⟼ x = 90°

Therefore ,each angle of the Quadrilateral is 90°