If ΔABC and ΔDEF are similar triangles in which ∠A = 47° and ∠E = 83°, then ∠C equals :

1. 50°

2. 60°

3. 70°

4. 80°

Given,

ΔABC ∼ ΔDEF.

Thus, corresponding angles are equal.

∠B = ∠E = 83°

We know that, sum of all angles in triangle is equal to 180°.

∠A + ∠B + ∠C = 180°

47° + 83° + ∠C = 180°

130° + ∠C = 180°

∠C = 180° - 130°

∠C = 50°.

Hence, option 1 is the correct option.