Question

7.The measures of each of the four angles of a quadrilateral are equal. Find the measure of each angle. *

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Answer 1

Answer:

90°

Step-by-step explanation:

Let the measure of each of the equal angle be 'x'.

  As we know, sum of all interior angles of a quadrilateral is 360°.

  Sum of all angles  =  360°

⇒ x + x + x + x = 360°

⇒ 4x = 360°

⇒ x = (360/4)°

⇒ x = 90°

       Hence the measure of each angle is 90°.

Answer 2

Given :-

The measures of each of the four angles of a quadrilateral are equal.

To Find :-

Find the measure of each angle.

Solution :-

Let us assume equal angles are x

In a quadrilateral

∠A + ∠B + ∠C + ∠D = 360

x + x + x + x = 360

4x = 360

x = 360/4

x = 90

Hence

Each angles are 90°,90°,90°,90°