Question

Solve for x & y

plsssss, sorry.

Answer 1

`\huge\boxed{x=29;\ y=51}`

Explanation:

This is Isosceles triangle (look at the picture).

We know:

All triangles have internal angles that add up to 180°

Therefore:

`(x-2)+(x-2)+(4x+10)=180`

combine like terms:

`(x+x+4x)+(-2-2+10)=180\\\\6x+6=180\qquad|\text{subtract 6 from both sides}\\\\6x=174\qquad|\text{divide both sides by 6}\\\\x=29`

(x - 2)° and 3y° are supplementary angle (Two Angles are Supplementary when they add up to 180°).

Therefore:

`3y+(x-2)=180`

substitute x = 29 and solve for y:

`3y+(29-2)=180\\\\3y+27=180\qquad|\text{subtract 27 from both sides}\\\\3y=153\qquad|\text{divide both sides by 3}\\\\y=51`