Question

Solve for x & y plsssss, sorry.

Answer 1

Answer:

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

Step-by-step 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:

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