In a Δ ABC, ∠B + ∠C = 110°, then find the measure of ∠A.

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 4)
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  1. 90° 
  2. 70°
  3. 80°
  4. 60°

Answer (Detailed Solution Below)

Option 2 : 70°
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Detailed Solution

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Given:

∠B + ∠C = 110°

Concept used:

The sum of the interior angles of the triangle is 180°.

Calculation:

In Δ ABC

⇒ ∠ A + ∠B + ∠C = 180° (Angle sum property)

⇒ ∠ A + 110° = 180 

⇒ ∠ A  =  180° - 110° = 70°

∴ The correct answer is 70°.

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