In , if 3
= 4
=6
, calculate
,
and
.
=80°,
=60°,
=40°
Let 3= 4
=6
= a
Therefore,
∠A = a/3, ∠B = a/4, ∠C = a/6 ____________________ (i)
∠A + ∠B + ∠C = 180° [Sum of angles]
⇒ a/3 + a/4 + a/6 = 180°
⇒ 9a/12 = 180°
⇒ a = 240°
⇒ ∠A = a/3 = 240° /3 = 80°
⇒ ∠B = a/4 = 240° /4 = 60°
⇒ ∠C = a/6 = 240° /6 = 40°