Question

Three angles of a ∆ are in the ratio 1 : 3 : 5. Find the angles.​

Answer 1

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Answer 2

★ Solution ↓

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→ Let the angles be x, 3x and 5x.

→ We know that :-

→ Sum of three angles of a triangle is always 180°.

➥ According to question :-

➥ Angle A + Angle B + Angle C = 180°

➥ x + 3x + 5x = 180°

➥ 4x + 5x = 180°

➥ 9x = 180°

➥ x = $\dfrac{180}{9}$

➥ x = 20°

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Therefore,

Angle A = x = 20°

Angle B = 3x = 3(20) = 60°

Angle C = 5x = 5(20) = 100°

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