Question

If PQRS is a square, then write the measure of ∠SRP.

Answer 1

The square PQRS is given as:

Since PQRS is a square.

Therefore,

PS = SR

and  ∠PSR = 90°

Now, in ΔPSR, we have

PS = SR

That is, ∠1 = ∠2 (Angles opposite to equal sides are equal)

By angle sum property of a triangle.

∠PSR + ∠1 + ∠2 = 180°

∠PSR + 2∠1 = 180°

 90° + 2∠1 = 180° (∠PSR = 90°)

2∠1 = 90°

∠1 = 45°