Question

In a ∆DEF Angle D =⅔ angle E,Angle E=³/7 angle F Find all 3 angles ∆DEF​

Answer 1

Answer:

F = 105°

D = 2/7 F = 30°

E = 3/7 F = 45°

Step-by-step explanation:

D = (2/3) E

E = (3/7) F

so,

D = (2/3) × (3/7) F

D = (2/7) F

as sum of angles is equal to 180°

D + E + F = 180°

(2/7 + 3/7 + 1) F = 180°

12/7 F = 180°

F = 105°

D = 2/7 F = 30°

E = 3/7 F = 45°