Question

IF AABC and ADEF are similar triangles such that <A=45" and
<F= 56°, then find <C.​

Answer 1

• Two Triangles are said to be similar if their i)corresponding angles are equal and ii)corresponding sides are proportional.(the ratio between the lengths of corresponding sides are equal)

• GIVEN :  ∆ABC ~ ∆ DEF , ∠ A= 45° , ∠ F = 56°

∠ A = ∠ D = 45°

∠ B = ∠ E

∠ C = ∠ F = 56°

[In similar ∆’s corresponding angles are equal]

• Similarity of triangles should be expressed symbolically using correct correspondence of their vertices]

• Hence , ∠ C = 56°