Question

The three angles of a triangle are x,
6x + 20°) and (x + 40°). Find the value
of x.​

Answer 1

Required Answer :-

• The value of x is 15.

Step-by-step explanation:

To Find :-

• The value of x

Solution:

Given that,

• The three angles of traingle are (x)°, (6x+20)° and (x+40)°

$\dag \: \underline{ \textbf{ \textsf{As \: we \: know \: that,}}}$

• Sum of all interior angles of triangle is 180°

Therefore,

$\longrightarrow \: \sf{x + (6x + 20) + (x + 40) = 180}$

By removing the brackets,

$\longrightarrow \: \sf{x + 6x + 20 + x + 40 = 180}$

By adding the link terms,

$\longrightarrow \: \sf{x + 6x + x + 20 + 40 = 180}$

$\longrightarrow \: \sf{8x + 20 + 40 = 180}$

$\longrightarrow \: \sf{8x + 60 = 180}$

By transposing 60 to R.H.S,

$\longrightarrow \: \sf{8x = 180 - 60}$

By subtracting,

$\longrightarrow \: \sf{8x = 120}$

By transposing 8 to R.H.S,

$\longrightarrow \: \sf{x = \dfrac{120}{8}}$

By dividing,

$\longrightarrow \: \sf{x = \cancel{ \dfrac{120}{8}}}$

$\longrightarrow \: \red{ \sf{x = 15}}$

Hence, The value of x is 15.

Answer 2

Given :

• Three angles of traingle are x, 6x + 20° , x + 40°

To Find :

• Value of x

Solution:

Sum of all interior angles of triangle is 180°

So,we have :-

$\implies \sf{(x) + (6x + 20) + (x + 40) = 180}$

$\implies\sf{x + 6x + x + 20 + 40 = 180}$

$\implies \sf{8x + 20 + 40 = 180}$

$\implies \sf{8x + 60 = 180}$

$\implies \sf{8x = 180 - 60}$

$\implies \sf{8x = 120}$

$\implies \sf {x = \dfrac{120}{8}}$

$\implies \sf{x = 15}$

Therefore ,value of x is 15.