Use the information below to find f such that triangle abc is congruent with triangle def. a b equals 36, bc equals 24, d equals 48, m angle b equals 110, i am angle equals 110, ef equals?

∠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°

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