Q. 44.1( 105 Votes )

# In ABC, ∠A = 30^{o}, ∠B = 40^{o} and ∠C = 110^{o}. In, ∠P = 30^{o}, ∠Q = 40^{o} and ∠R = 110^{o}. A student says that by AAA congruence criterion. Is he justified? Why or why not?

Answer :

According to the question, in ABC, ∠A = 30^{o}, ∠B = 40^{o} and ∠C = 110^{o}

And, in , ∠P = 30^{o}, ∠Q = 40^{o} and ∠R = 110^{o}

We have to justify that:

Is , by AAA congruence rule

As the given property shows that the two triangles have their all three respective angles equal.

But, no information explains any of the sides.

**Thus, it can be concluded that AAA Property does not prove the triangle to be congruent.**

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Complete the congruence statement:

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