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` =
`(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