Q. 15

If ABC and DEF ar A. 50°

B. 60°

C. 70°

D. 80°

Answer :

Given ABC and DEF are two similar triangles, A = 47° and E = 83°



We know that SAS similarity criterion states that if one angle of a triangle is equal to one angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar.


In ΔABC and ΔDEF,


if and A = D, then ΔABC ~ ΔDEF


So, A = D


D = 47° … (1)


Similarly, B = E


B = 83° … (2)


We know that the sum of all angles of a triangle is equal to 180°.


A + B + C = 180°


47° + 83° + C = 180°


130° + C = 180°


C = 180° - 130° = 50°


C = 50°

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