Question

Its given that ΔABC is congruent to ΔDEF and AB = 4.6 cm, ∠B = 60º and ∠A = 50º , then find length of DE and also measurement of ∠F ?​

Answer 1

Answer:

Since ΔABC ≅ ΔDEF

AB = DE = 4.6 cm

∠F =  ∠C

∠A+∠B+∠C = 180°

50°+60°+∠C = 180°

∠C = 180°-110° = 70°

∴ ∠F = 70°

Answer 2

Answer:

4.6 cm and 70°

Step-by-step explanation:

Since ΔABC congruent to ΔDEF,

AB=DE=4.6 cm and ∠C=∠F(by cpct)

In ΔABC,

∠A +∠B + ∠C= 180°

∠C= (180 -60 - 50)° = 70° =∠F