Question
What is the measure of 
if PQRS is a rectangle?
- 180°
- 90°
- 47°
- 43°
Hint:
∠PQR=90° , since ∠PQR is the corner angle of a rectangle.
now,
Consider Triangle PQR,
∠PQR + ∠PRQ + ∠RPQ =180° ; the sum angles in a triangle is 180°.
90 + 47 + ∠RPQ= 180,
∠RPQ=180-90-47
∠RPQ= 43°
The correct answer is: 43°
Given:- ∠PRQ=47°
∠PQR=90° , since ∠PQR is the corner angle of a rectangle.
now,
Consider Triangle PQR,
∠PQR + ∠PRQ + ∠RPQ =180° ; the sum angles in a triangle is 180°.
90 + 47 + ∠RPQ= 180,
∠RPQ=180-90-47
∠RPQ= 43°
Therefore, angle of ∠RPQ=43°.
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