Iwill award given: ∆abc ≅ ∆def find: ab, m∠f

AB = 6 and

m<F = 50°

Step-by-step explanation:

If the triangles are similar

ABC ≅ DEF

That means AB ≅ DE

BC ≅ EF

and CA ≅ FD

We want to find AB  so it is equal to DE  

AB = DE = 6

We also know  the angles are equal

A = D

B = E

C = F

Angle F = angle C = 50

Given: ∆ABC ≅ ∆DEF

Using the rule CPCTC: (Congruent Parts of Congruent Triangles are Congruent) ∴ AB ≅ ED ; m∠F ≅ m∠C.

ED = 6 ≅ AB ∴ AB also = 6.

m∠F ≅ m∠C = 50° ∴ m∠F = 50°

AB = 6 ; m∠F = 50°

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