Question

Hi can you pls solve this with work, thank you sm, have a nice day!

Answer 1

Answer: x=56°

Explanation:

The sum of the angles of the triangle is 180°

Hence,

`\displaystyle\\(x+5^2)+((3)/(4)x+1^2)+x =180\\x+25+(3)/(4)x+1+x=180\\ 2(3)/(4)x+26=180\\\\ (8+3)/(4) x+26-26=180-26\\\\(11x)/(4) =154`

Multiply both parts of the equation by 4:

`11x=11(14)(4)`

Divide both parts of the equation by 11:

`x=14(4)\\\\x=56^0`