Question

I WILL AWARD BRAINLIEST!! Find: Given: ∆ABC ≅ ∆DEF Find: AB, m∠F

Answer 1

Answer: AB=DE=6 units

$m\angle{F}=m\angle{C}=50^{\circ}$

Step-by-step explanation:

Given: ∆ABC ≅ ∆DEF

We know that if two triangles are congruent then their corresponding sides and angles are congruent. [By CPCTC]

Now, AB≅DE=6 units

Therefore, AB= 6units

EF≅BC=4 units and AC=DF

$m\angle{D}\cong m\angle{A}=30^{\circ}\\\Rightarrow\ m\angle{D}=30^{\circ}$

$m\angle{F}\cong m\angle{C}=50^{\circ}\\\Rightarrow\ m\angle{F}\cong50^{\circ}$