The
correct answer is in file attached
<span>we have
triangle RST
m∠R = 60, m∠S = 80 and m∠T=180-(80+60)=40</span> <span>RS=4
triangle EFD
m∠F = 60, m∠D = 40 and m∠E=180-(60+40)=80</span>
EF=4
Therefore
<span>The triangles RST and EFD are congruents because they have two angles and the side common to them, respectively, equal.
This is the theorem of ASA (angle-side-angle).</span>
Explication
Side common--------> RS=EF
<span>Angles RS------------- > m∠R = 60 m∠S = 80 </span>
<span>Angles EF------------- > m∠E = 80 m∠F = 60 </span>
<span>Angles RS and Angles EF are equals</span>
<span>
The segment which is congruent to RT is FD, because angles of RT are 60 and 40, and angles of FD also are 60 and 40.</span>
<span>we have
triangle RST
m∠R = 60, m∠S = 80 and m∠T=180-(80+60)=40</span> <span>RS=4
triangle EFD
m∠F = 60, m∠D = 40 and m∠E=180-(60+40)=80</span>
EF=4
Therefore
<span>The triangles RST and EFD are congruents because they have two angles and the side common to them, respectively, equal.
This is the theorem of ASA (angle-side-angle).</span>
Explication
Side common--------> RS=EF
<span>Angles RS------------- > m∠R = 60 m∠S = 80 </span>
<span>Angles EF------------- > m∠E = 80 m∠F = 60 </span>
<span>Angles RS and Angles EF are equals</span>
<span>
The segment which is congruent to RT is FD, because angles of RT are 60 and 40, and angles of FD also are 60 and 40.</span>