Question

if the angles of a triangle are 3if the angles of a triangle are bracket open 3x bracket close degree sign comma bracket open 2x-7bracket close, and bracket open 4x-11 bracket close degree sign, then find the value of x
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Answer 1

Answer:

total angle in a triangle =180°

so value of x =

(3x) + (2x-7) +(4x-11) =180°

3x+2x+4x=180+7+11

9x=198

x=198/9

=22°

Answer 2

Answer:

x=22°

Step-by-step explanation:

$\implies$ $\sf{(3x)+(2x-7)(4x-11)=180° }$

$\implies$ $\sf{3x+2x+4x-7-11=180 }$

$\implies$ $\sf{ 9x-18=180}$

$\implies$ $\sf{9x=198 }$

$\implies$ $\sf{x={\Large\frac{\cancel{198}\:22}{\cancel{9}}} }$

$\implies$ $\boxed{\sf{x=22 }}$

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