Question

Given that ΔABC ∼ΔDEF, m∠A = 108 degrees and m∠E = 40 degrees. Find m∠F. Type ONLY the number of degrees.

Answer 1

∠F = 32°

Explanation:

ΔABC & ΔDEF are similar triangles. So, corresponding angles of both triangles are congruent

∠D = ∠A = 108

∠B = ∠E = 40

∠C = ∠F

In ΔDEF,

∠D +∠E + ∠F = 180 {Angle sum property of triangle}

108 + 40 + ∠F = 180

148 +∠F = 180

∠F = 180 - 148

∠F = 32°