Question

If ΔABC ∼ ΔDEF such that ∠A = 92° and ∠B = 40°, then ∠F = ?

Options

• 52°

• 92°

• 40°

• 48°

Answer 1

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°