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In bigtriangleup ABC,angle A= 30^o, angle B= 40^o and angle C= 110^o. In bigtriangleup PQR, angle P=30^{o}, angle Q=40^{o} and angle R=110^o.

4. In \bigtriangleup ABC,\angle A= 30^{o} , \angle B= 40^{o} and \angle C= 110^{o}.

 In \bigtriangleup PQR, \angle P=30^{o} , \angle Q=40^{o} and \angle R=110^{o}. A student says that \bigtriangleup ABC\cong \bigtriangleup PQR by AAA congruence criterion. Is he justified? Why or why not?

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No, because it is not necessary that two triangles will be congruent if their all three corresponding angles are equal. in this case, the triangles might be zoomed copy of one another.

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