Question

the angles of a triangle are in the ratio 2 is to 7 is to 11 angles are ​

Answer 1

Answer:

angles of triangles are 18° , 63° and 99°

Step-by-step explanation:

let the angles of ∆ be 2x,7x and 11x respectively

2x+7x+11x=180°

20x=180°

x=180°/20=9°

2x=2×9°=18°

7x=7×9°=63°

11x=11×9°=99°

Answer 2

Answer:

The angles of the triangle are 18°, 63° and 99°.

Step-by-step explanation:

Given :

Ratio of the angles in the triangle = 2 : 7 : 11

To find :

The angles

Solution :

✯ $\textbf{\small{\underline{Consider the angles as -}}}$

• 2x
• 7x
• 11x

According to the Angle Sum Property of triangle, all the angles of the triangle sum up and make 180°.

$\longrightarrow$ 2x + 7x + 11x = 180°

$\longrightarrow$ 9x + 11x = 180°

$\longrightarrow$ 20x = 180°

$\longrightarrow$ x = 180/20

$\longrightarrow$ x = 9°

★ Value of 2x

$\longrightarrow$ 2(9)

$\longrightarrow$ 18°

$\rule{300}{1.5}$

★ Value of 7x

$\longrightarrow$ 7(9)

$\longrightarrow$ 63°

$\rule{300}{1.5}$

★ Value of 11x

$\longrightarrow$ 11(9)

$\longrightarrow$ 99°

$\therefore$ The angles of the triangle are 18°, 63° and 99°.

$\rule{300}{1.5}$

Verification :-

$\longrightarrow$ 18° + 63° + 99° = 180°

$\longrightarrow$ 81° + 99° = 180°

$\longrightarrow$ 180° = 180°

$\therefore$ The angles of the triangle are 18°, 63° and 99°.