Question

in a triangle ABC, if 2∠A= 3∠B=6∠C then find the measure of ∠C




please help me ...

Answer 1

Answer:

Step-by-step explanation:

let each ratio=k

∴2∠A = k⇒∠A =k/2............(1)

3∠B=k⇒∠B=k/3................(2)

6∠C=k⇒∠c=k/6....(3)

now,

∠A +∠B+∠C=180

from 1,2,3

K/2+K/3+K/6=180

3K+2K+K/6=180

K=180

NOW,∠C = K/6

∠C = 180/6

∴∠C = 30°

Thus,∠C = 30°.