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In $Δ ABC, ∠ B = 5 ∠ C; ∠ A = 3 ∠ C .$ Then the angles of the triangle are

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$70 °, 80 °, 30 °$

$60 °, 90 °, 30 °$

$55 °, 95 °, 30 °$

$60 °, 100 °, 20 °$

answer is D.

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Detailed Solution

$∠ A + ∠ B + ∠ C = 180 °$

$3 ∠ C + 5 ∠ C + ∠ C = 180 °$

$9 ∠ C = 180 °$

$∠ C = \frac{180 °}{9} = 20 °$

$∠ A = 3 (20 °) = 60 °$ ; $∠ B = 5 (20 °) = 100 °$

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