Question

Prove that the angle bisectors of interior angles of a rectangle form a square...Please answer this fast

Answer 1

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Answer 2

Answer:

See picture for reference.

Step-by-step explanation:

Let ABCD is a rectangle.

Now, from the figure,

∠1 = 90/2 = 45

and ∠2 = 90/2 = 45

Now, in triangle AXD,

∠AXD = 180 - (45 + 45)

=> ∠AXD = 180 - 90

=> ∠AXD = 90

So, ∠WXY = 90        {vertically opposite angle}

Similarly, in trianlge BCZ

∠CZB = ∠WXY = 90

Since, all the angles are 90, So it will form a square.

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