Please help this is confusing

Question

asked Mar 6, 2023 99.9k views

2 Answers

MartinElvar · Answer 1 · 2023-03-08T05:02:37+0000

Answer:

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

Metatoaster · Answer 2 · 2023-03-12T04:56:13+0000

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.