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In a quadrilateral ABCD, if ∠A = 80°, ∠B = 100°, ∠C = 50°, then ∠D = _____.

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In a quadrilateral ABCD, if ∠A = 80°, ∠B = 100°, ∠C = 50°, then ∠D = _____.       
1. 130° 
2. 100° 
3. 110° 
4. 120° 
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Correct Answer - Option 1 : 130° 

Given:

∠A = 80°, ∠B = 100°, ∠C = 50°

Concept used:

The sum of interior angles in a quadrilateral is 360°.

Calculation:

∠A + ∠B + ∠C + ∠D = 360°

⇒ 80° + 100° + 50° + ∠D = 360°

⇒ ∠D = 360° - 230°

⇒ ∠D = 130°

∴ The value of ∠D = 130°.
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