Question

If ∆MNO ≅ ∆DEF, ∠M = 60° and ∠E = 45° then find the value of ∠O

Answer 1

Given ∆MNO ≅ ∆DEF

∴ Corresponding parts of the congruent triangle are congruent.

∠M = ∠D = 60°  ...[given ∠M = 60°]

∠N = ∠E = 45°  ...[given ∠E = 45°]

∠O = ∠F

In triangle MNO, sum of the three angle is 180°

∠M + ∠N + ∠O = 180°

60° + 45° + ∠O = 180°

105° + ∠O = 180°

∠O = 180° – 105° = 75°

Value of ∠O = 75°