Question

The angles of triangle are in the ratio 2:3:7.Find the measure of the largest angle.​

Answer 1

Given

The angles of a triangle are in the ratio 2:3:7.

Let the angles be 2x, 3x and 7x respectively.

SOMETHING YOU NEED TO KNOW

The sum of the angles of a triangle = 180°

$\implies 2x+3x+7x=180$

$\bold{Angle \ sum \ property \ of \ a \ triangle}$

$\implies 12x=180$

$\implies x = \dfrac{180}{12}$

$\implies x = 15$

$\implies \sf 2x=2 \times 15 = 30 \ degrees$

$\implies \sf 3x=3 \times 15 = 45 \ degrees$

$\implies \sf 7x=7 \times 15 = 105 \ degrees$

$\boxed{\boxed{\bold{Therefore, \ the \ largest \ angle \ is \ 105 \ degrees}}}}}}$

                                                           

Answer 2

Step-by-step explanation:

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