Hence, the values of x, y and z are as follows:
x=10
y=5
z=2
Further explanation:
When two triangles are congruent, then their respective sides will also be congruent or equal
As it is given that
ΔABC≅ΔDFE
Which means that
EF = BC
ED=AC
FD=AB
Now,
[tex]EF=BC\\Putting\ the\ values\\x+15=2x+5\\x-2x=5-15\\-x=-10\\x=10\\AND\\FD=AB\\Putting\ the\ values\\4y=8y-20\\4y-8y=-20\\-4y=-20\\\frac{-4y}{-4}=\frac{-20}{-4}\\y=5\\AND\\ED=AC\\10z-5=3z+9\\10z-3z=9+5\\7z=14\\\frac{7z}{7}=\frac{14}{7}\\z=2[/tex]
Hence, the values of x, y and z are as follows:
x=10
y=5
z=2
Keywords: Similar triangles, Congruent Triangles
Learn more about congruent triangles at:
- brainly.com/question/4924817
- brainly.com/question/5720422
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