Question

In a triangle ABC if 2 angle A is equal to 6 angle C, find angle A, angle N and angle C

Answer 1

2angleA=3angleB=6angleC

=angleA+angleB+angleC=180(angles sum property).... equation 1

let x=2angle A. x/2=angleA....eq 2

x=3angleB. x/3=angleB....eq 3

x=6 angleC. x/6=angleC....eq 4

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

Lcm=6

3x+2x+x/6=180

6x=180×6

6x=1080

x=180

so, angleA= x/2=90

angleB=x/3=60

angleC=x/6=30