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Question
If ΔABC ∼ ΔDEF such that ∠A = 92° and ∠B = 40°, then ∠F = ?
Options
52°
92°
40°
48°
Solution
48°
Explanation:
Given: ∠A = 92°, ∠B = 40°.
Since, ΔABC ∼ ΔDEF
So, ∠A ≅ ∠D, ∠B ≅ ∠E and ∠C ≅ ∠F
⇒ ∠D = 92°, ∠E = 40°
In ΔDEF,
∠D + ∠E + ∠F = 180°
⇒ 92° + 40° + ∠F = 180°
⇒ ∠F = 180° – 132° = 48°
Thus, ∠F = 48°
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