Q46 of 168 Page 4

In Fig. 4.242 the measures of and are respectively

In ΔABC and ΔDEF,



⇒ ∠A = ∠E = 130°


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.


∴ ΔABC ~ ΔEFD


Hence, ∠F = ∠B = 30°


And ∠D = ∠C = 20°

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