Question

5. A quadrilateral ABCD has all its angles of the same measure. What is the measure of each
angle?​

Answer 1

Answer:

90⁰

Step-by-step explanation:

Sum of all angles in a quadrilateral = 360⁰

If all the angles are equal

then x+x+x+x = 360⁰

4x = 360⁰

x = 360⁰/4

x = 90⁰

Answer 2

Answer :-

The angles of quadrilateral are :-

• ∠A = 90°
• ∠B = 90°
• ∠C = 90°
• ∠D = 90°

Step-by-step explanation ::

To Find :-

• The measure of each angles of a quadrilateral

Solution :-

Given that,

• ABCD is a quadrilateral
• All angles are of same measure

∠A + ∠B + ∠C + ∠D = 360°

Let us assume all the four angles of quadrilateral as x, x, x and x.

Therefore,

• x + x + x + x = 360°

360° ∵ sum of all angles of quadrilateral = 360°,

⟹ x + x + x + x = 360

⟹ 2x + x + x = 360

⟹ 3x + x = 360

⟹ 4x = 360

⟹ x = 360/4

⟹ x = 180/2

⟹ x = 90

The value of x is 90. Now, the angles are :-

We assumed all the angles of the quadrilateral as x, Therefore, the angles are,

• ∠A = 90°
• ∠B = 90°
• ∠C = 90°
• ∠D = 90°