Question

To verify the sum of all angles of a rectangle is 360°​

Answer 1

Given: There is a rectangle ABCD

To prove: Sum of all angles of rectangle is 360°

Proof:  

             Since every rectangle has 4 internal 90-degree angles ("right angles"), the sum of the angles of any rectangle is 90° + 90° + 90° + 90° equaling 360 degrees.

                                        hence proved...

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Answer 2

To verify :-

• The sum of the angles of a rectangle is 360°

Answer :-

Firstly, Properties of rectangle and what is Rectangle?

What is Rectangle ?

→ A Rectangle is a parallelogram whose each angle is a right angle.

Properties :-

• Opposite sides are equal.
• Each angle measures 90°
• Diagonals are equal.
• Diagonals bisects each other.

Now,

According the question,

To verify :-

• The sum of all angles of a rectangle is 360°

Solution:

FIGURE :-

• Refer the attachment.

Here, ABCD is a rectangle.

By the property of rectangle, we know,

Each angle measures 90°

∴ ∠A = ∠B = ∠C = ∠D = 90°

⇒ ∠A + ∠B + ∠C + ∠D = 360°

⇒ 90 + 90 + 90 + 90 = 360

⇒ 180 + 180 = 360

⇒ 360 = 360

Hence, Verified!