Question

Please help this is confusing

Answer 1

x = 16

Explanation:

Creating an equation

Angles in a triangle add up to 180 degrees

This means that x + 19 + 2x + 98 + 3x - 33 = 180

Solving for x

x + 19 + 2x + 98 + 3x - 33 = 180

==> combine like terms

6x + 84 = 180

==> subtract 84 from both sides

6x = 96

==> divide both sides by 6

x = 16

Answer 2

Solution -:

Let's Begin -:

`\displaystyle{ \large{ \bf{ \: by \: using \: angle \: sum \: property \: of \triangle}}}`

`\displaystyle{ \large{ \sf{2x + 98 + x + 19 + 3x - 33 = 180 \degree}}}`

Now adding and subtracting like term ,

`\displaystyle{ \large{ \sf{6x + 84 = 180 \degree}}}`

Now transposing 84 to right hand side ,,,

`\displaystyle{ \large{ \sf{6x = 180 \degree \: - 84}}}`

84 are positive in LHS so when we transpose in RHS 84 became -8

`\displaystyle{ \large{ \sf{6x = 96}}}`

now transposing 6 to RHS,

`\displaystyle{ \large{ \sf{x = (96)/(6) }}}`

`\displaystyle{ \large{ \sf{x = 16}}}`

value of x is 16.