Q. 223.7( 3 Votes )

Two triangles DEF

Answer :

Given that ΔDEF ΔGHK.


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We know that if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar (AAA criteria).


D = 48° = G


H = 57° = E


F = K = x°


We know that the sum of angles in a triangle = 180°.


So, in ΔDEF,


48° + 57° + x° = 180°


105° + x° = 180°


x° = 180° - 105°


x° = 75° = F


Ans. F = 75o


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