SOLUTION: In a triangle DSR ,if 3times angle D=4times angle S=6times angle R.Calculate the measures of angles D,S,R

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Question 320333: In a triangle DSR ,if 3times angle D=4times angle S=6times angle R.Calculate the measures of angles D,S,R
Answer by checkley77(12844) About Me  (Show Source):
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R+S+D=180
3D=4S=6R
4S=3D
S=3D/4
6R=3D
R=3D/6
R=D/2
D/2+3D/4+D=180
(2D+3D+4D)/4=180
9D/4=180
9D=4*180
9D=720
D=720/9
D=80 ANS. FOR ANGLE D.
S=3*80/4=240/4=60 ANS FOR ANGLE S.
R=80/2=40 ANS. FOR ANGLE R.
PROOF:
80+60+40=180
180=180