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SSC CGL 2023 PYQ — Question 67

SSC CGL - 20 July 2023 - Shift 2 • Quantitative Aptitude • Q67

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Suppose △PQR and △STU are congruent triangles under ASA. If ∠PQR = 60°, ∠PRQ 30° and ∠STU = 60°, find ∠TSU.

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 90°.

Concept: If two triangles are congruent then, their corresponding parts are equal.

Let the ∠\angle TSU and ∠\angle SUT be y° and x° respectively.

Let the ∠\angle TSU and ∠\angle SUT be y° and x° respectively.

⇒ ∠\angle QPR = 180 - (60 + 30)

⇒ ∠\angle QPR= 90°

⇒ ∠\angle QPR = 90° = ∠\angle TSU (Under ASA)

So, ∠\angle TSU = 90°