Answer:
[tex]A+B+C=130[/tex]
[tex]F+E+D=273[/tex]
Step-by-step explanation:
From the question we are told that:
Dimension of ABC
A=9
B=11
C=110
Dimension of FED
D=231
Generally the equation for the similar triangles is mathematically given by
[tex]\frac{A}{F}=\frac{B}{E}=\frac{C}{D}[/tex]
Therefore solving for F
[tex]\frac{9}{F}=\frac{110}{231}[/tex]
[tex]F=\frac{9*231}{110}[/tex]
[tex]F=18.9[/tex]
Therefore solving for E
[tex]\frac{11}{E}=\frac{110}{231}[/tex]
[tex]E=\frac{11*231}{110}[/tex]
[tex]E=23.1[/tex]
Measure of [tex]\triangle ABC[/tex]
[tex]A+B+C=130[/tex]
Measure of [tex]\triangle FED[/tex]
[tex]F+E+D=273[/tex]
