Question

triangle ABC and triangle DEF are such that AB/DE=BC/EF=AC/DE and Angle A =40* angle B=80* then the measure angle F is​

Answer 1

Answer:

60

Step-by-step explanation:

40+80=180

120=180

180-120=60

Answer 2

Answer:

∠F = 60°

Step-by-step explanation:

Given, ∠A = 40°, ∠B = 80°

Sum of angles in triangle = 180°

⇒ ∠A + ∠B + ∠C =180°

⇒ 40° + 80° + ∠C = 180°

⇒ ∠C = 180° - 40° - 80° = 180° - 120° = 60°

Given, AB/DE = BC/EF = CA/FE

So, by SSS criterion, ΔABC ~ ΔDEF

We know that corresponding angles are equal in similar triangles

So, ∠C = ∠F = 60°

∴ ∠F = 60°

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