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Question

Show that in two triangles ΔABC and ΔDEF, whether in the following conditions they are similar or not. Why?
(i) A=30o,B=50o,C=80o
(ii) D=50o,E=30o,F=80o.

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Solution

In ΔABC
A+B+C=30o+50o+80o=160o
In Δ DEF
D+E+F=50o+30o+80o=160o
We know that the sum of three angles of a triangle is 180o
ΔABC and Δ DEF are not possible.
AD,BE,C=F.
All the corresponding angles are not equal, the triangles ABC and DEF are not similar.

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