tkaykay2005
Answered

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solve for x & y

plsssss, sorry.

Solve For X Amp Y Plsssss Sorry class=

Sagot :

gmany

Answer:

[tex]\huge\boxed{x=29;\ y=51}[/tex]

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:

[tex](x-2)+(x-2)+(4x+10)=180[/tex]

combine like terms:

[tex](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[/tex]

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

Therefore:

[tex]3y+(x-2)=180[/tex]

substitute x = 29 and solve for y:

[tex]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[/tex]

View image gmany
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