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Answer: ∠F = 23° and EF = 24
Step-by-step explanation:
Since if two triangles are congruent,
Then, their corresponding sides and angles must be congruent.
Since, In Δ ABC and Δ DEF,
Sides AB, BC and CA are corresponding to sides DE, EF and FD respectively.
Also, ∠A, ∠B and ∠C are corresponding to ∠D, ∠E and ∠F respectively.
Therefore, If Δ ABC ≅ Δ DEF
⇒ AB ≅ DE , BC ≅ EF and CA ≅ FD
∠A ≅ ∠D, ∠B ≅ ∠E and ∠C ≅ ∠ F
But, It is given that AB = 36 and BC=24
Therefore, AB = DE = 36 and BC = EF = 24
Also, m∠B = 110° m∠D = 48°
⇒m∠E = 110° and m∠A = 48°
⇒m∠F = m∠C =180 - 158 = 23°
