Question

in triangle abc if 3 angle a = 4 angle b = 6 angle C calculate the angles​

Answer 1

Step-by-step explanation:

method:

Let

3∠A=4∠B=6∠C=x

∠A=x/3

,

∠B=x/4

,

∠C=x/6

∠A=x/3,∠B=x/4,∠C=x/6

∠A+∠B+∠C=180∘

x/3+x/4+x/6=180∘

lcm of 3,4,6 is= 12

(4x+3x+2x) / 12= 180

9x / 12= 180

x =( 180×12)/ 9

x=240∘

Therefore,

∠A=80∘ ( angleA= x/3 , so 240/3= 80)

,

∠B=60∘

∠C=40∘

∠A=80∘,∠B=60∘∠C=40∘