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Please help this is confusing

Please help this is confusing-example-1

2 Answers

4 votes

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

User MartinElvar
by
7.5k points
6 votes

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.

User Metatoaster
by
7.1k points

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