Question

The angles of a triangle are in the ratio 5:6:7. Find the angles.​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The angles of the Triangle are 50°, 60° and 70°.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Angles of the triangle = 5 : 6 : 7

To Find :

The angles of the Triangle

Solution :

◆ $\textbf{\small{\underline{Consider the -}}}$

• One Angle as 5x
• Second Angle as 6x
• Third Angle as 7x

According to the Angle Sum Property of Triangle, the sum of all the angles of a triangle is 180°.

★ $\boxed{\sf{5x+6x+7x=180}}$

$\longrightarrow$ 5x + 6x + 7x = 180

$\longrightarrow$ 11x + 7x = 180

$\longrightarrow$ 18x = 180

$\longrightarrow$ x = 180/18

$\longrightarrow$ x = 10

$\rule{300}{1.5}$

★ Value of 5x

$\longrightarrow$ 5 × 10

$\longrightarrow$ 50

One Angle = 50°

$\rule{300}{1.5}$

★ Value of 6x

$\longrightarrow$ 6 × 10

$\longrightarrow$ 60

Second Angle = 60°

$\rule{300}{1.5}$

★ Value of 7x

$\longrightarrow$ 7 × 10

$\longrightarrow$ 70

Third Angle = 70°

$\therefore$ The angles of the Triangle are 50°, 60° and 70°.

Answer 2

Answer:

50,60,70

Step-by-step explanation:

5+6+7=180

18x/180

x=10

angle 1,

5 multiplied by 10=50

angle 2,

6 multiplied by 10=60

angle 3,

7 multiplied by 10=70