Question

Please explain how to do this. 7th grade math. Worth 20 points.

Answer 1

$\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}$

The value of $x$.

$\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$

$\longrightarrow{\green{x=12° }}$ 

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

We know that,

$\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}$

➪ 95° + (3$x$ +4)° + (4$x$ - 3)° = 180°

➪ 3$x$ + 4$x$ + 95° + 4° -3° = 180°

➪ 7$x$ + 96° = 180°

➪ 7$x$ = 180° - 96°

➪ 7$x$ = 84°

➪ $x$ = $\frac{84°}{7}$

➪ $x$ = 12°

Therefore, the value of $x$ is 12°.

Now, the three angles of the triangle are 95°, 40° and 45° respectively.

$\large\mathfrak{{\pmb{\underline{\purple{To\:verify}}{\purple{:}}}}}$

✒ 95° + 40° + 45° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

$\boxed{Hence\:verified.}$

Answer 2

Hope this helps! feel free to clarify