Question

in a triangle abc, 2 angle A= 3 angle B= 6 angle C,calculate angle B​

Answer 1

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2angleA=3angleB=6angleC

=angleA+angleB+angleC=180(angle sum property) ----eq1

let x=2angleA=3angleB=6angleC

x=2angleA. x/2=angleA. ----eq2

x=3angleB. x/3=angleB. ----eq3

x=6angleC. x/6=angleC. ----eq4

substituting eq2,3,4 in eq1

x/2+x/3+x/6=180

Lcm=6

3x+2x+x/6=180

6x=180×6

6x=1080

x=180------eq 5

substituting eq 5 in eq 2,3,4

angleA=x/2=90

angleB=x/3=60

angleC=x/6=30

Answer 2

Answer:

a+b+c=180

3+6+c=180

c=180-6-3

c=171