Question

. If three angles of a triangle are (3x-40)⁰, (x+15)⁰ and (2x-35)⁰ then x equals to______.​

Answer 1

Given:

• We are given with the three angles of triangle, that is, (3x - 40)°, (x + 15)° and (2x - 35)°.

Need to find:

• The value of x = ?

Solution:

We know that, if we are given with the three angles of a triangle, we have the required statement, that is,

• The sum of all three angles of a triangle is 180°.

« Plugging the values of all three angles in the statement, we get:

→ (3x - 40) + (x + 15) + (2x - 35) = 180

→ 3x - 40 + x + 15 + 2x - 35 = 180

→ 3x + x + 2x - 40 + 15 - 35 = 180

→ 4x + 2x - 40 + 15 - 35 = 180

→ 6x - 40 + 15 - 35 = 180

→ 6x - 25 - 35 = 180

→ 6x - 60 = 180

→ 6x = 180 + 60

→ 6x = 240

→ x = 240/6

→ x = 40.

∴ The required value of x is 40.

Answer 2

Given :-

• If three angles of a triangles are, (3x - 40)°, (x + 15)° and (2x - 35)°

To find :-

• Find the value of x ?

Solution :-

• The three angles of a triangle,

• The sum of all three angles of a triangle is 180°

• Susbtiung the values :

:$\implies$${\sf{(3x-40)+(x+15)+(2x-35)=180}}$

$~~~~~$:$\implies$${\sf{3x-40+x+15+2x-35=180}}$

:$\implies$${\sf{3x + x + 2x - 40 + 15 - 35 = 180}}$

$~~~~~$:$\implies$${\sf{4x + 2x - 40 + 15 - 35 = 180}}$

:$\implies$${\sf{6x - 40 + 15 - 35 = 180}}$

$~~~~~$:$\implies$${\sf{6x - 25 - 35 = 180}}$

:$\implies$${\sf{6x - 60 = 180}}$

$~~~~~$:$\implies$${\sf{6x = 240}}$

:$\implies$${\sf{x=}}$${\cancel{\dfrac{240}{6}}}$

$~~~~~$:$\implies$${\underline{\boxed{\frak{\pink{x~=40}}}}}$★

$\therefore$ Hence,

• The required value of $\large\rm{\underline{x = 40}}$