Q. 94.8( 9 Votes )

If ∆ABC <span lan

Answer :

Given: ∆ABC ∆DFE,

As ∆ABC DFE so, by the property of Corresponding angles of similar triangles,


We have,


A = D = 30° (Corresponding angles)


C = E = 50° (Corresponding angles)



We know that sum of angles of a triangle = 180°


So,


∴ ∠B = F = 180°- (30° + 50°) = 100°


Also Given,


AB = 5 cm,


AC = 8 cm and


DF = 7.5 cm



Hence,


DE = 12 cm, and F = 100°

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