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

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 2)
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  1. 90°
  2. 75°
  3. 60°
  4. 45°

Answer (Detailed Solution Below)

Option 1 : 90°
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Detailed Solution

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Given

Δ PQR and  Δ STU are congruent triangles 

PQR = 60°, ∠PRQ = 30° and ∠STU = 60°

Concept used

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

Calculation

16

17

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

QPR = 180 - (60 + 30)

∠QPR = 90°

QPR = 90° = ∠TSU (Under ASA)

The answer is 90°.

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