Question

In ∆ABC, if 3∠A = 4∠B = 6∠C then A : B : C = ?

Answer 1

Answer:

16:21:31

A=32

B=42

C=62

A:B:C

32:42:62

16:27:37

Step-by-step explanation:

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Answer 2

$\huge{\textbf{\textsf{\pink{Answer\::}}}}$

→ 3∠A = 4∠B = 6∠C

Let,

→ 3∠A = 4∠B = 6∠C = x

→ ∠A = $\sf{\dfrac{x}{3}}$

→ ∠B = $\sf{\dfrac{x}{4}}$

→ ∠C = $\sf{\dfrac{x}{6}}$

We know that,

→ ∠A + ∠B + ∠C = 180°

→ $\sf{\dfrac{x}{3}~+~\dfrac{x}{4}~+~\dfrac{x}{6}}$ = 180°

→ x = 240°

Therefore,

• ∠A = 80°

• ∠B = 60°

• ∠C = 40°

Hence,

→ ∠A : ∠B : ∠C = 8 : 6 : 4