Q. 33.6( 13 Votes )

# In , if 3= 4=6, calculate, and .

Answer :

=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°

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