Question

the angles of a triangle are in the ratio 4:5:6, find their measures degrees .

Answer 1

4x:5x:6x
4x+5x+6x=180'
15x=180'
x=180/15
=12
angle 1=4x=4×12'=48'
". 2=5x=5×12=60'
". 3=6x=6×12=72'

Answer 2

Let the angles of triangle be 4x, 5, and 6x respectively.

As we know that, the sum of angles of triangle measures 180°.

A / Q,

∠A + ∠B + ∠C = 180°

⇒ 4x + 5x + 6x = 180°

⇒ 15x = 180

⇒ x = $\mathsf {\frac{180}{15}}$

⇒ x = 12

Now,

∠A = 4x = 4 × 12 = 48°

∠B = 5x = 5 × 12 = 60°

∠C = 6x = 6 × 12 = 72°

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Thanks for the question !

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