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ycow [4]
2 years ago
13

Solve for x & y plsssss, sorry.

Mathematics
1 answer:
andriy [413]2 years ago
7 0

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

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