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