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