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In $Δ ABC, ∠ A = 2 x, ∠ B = 2 x + 4, ∠ C = x + 1$ then the value of smaller angle is

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30 °

38 °

36 °

34 °

answer is C.

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Detailed Solution

∠ A + ∠ B + ∠ C = 180 °

(

∴

Angle sum property)

$2 x + 2 x + 4 + x + 1 = 180 °$

$5 x + 5 = 180 °$

$5 x = 175$

$x = 35$

$∠ A = 2 x = (2 \times 35) = 70$

$∠ B = 2 x + 4 = (2 \times 35) + 4 = 74$

$∠ C = x + 1 = 35 + 1 = 36$

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