SOLUTION: In a triangle,the sum of the interior angles is 180degrees. If angle A is three times as large as angle B,and angles B and C sum to 90 degree.What is the measure of each angle?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In a triangle,the sum of the interior angles is 180degrees. If angle A is three times as large as angle B,and angles B and C sum to 90 degree.What is the measure of each angle?      Log On


   

Question 310667: In a triangle,the sum of the interior angles is 180degrees. If angle A is three times as large as angle B,and angles B and C sum to 90 degree.What is the measure of each angle?
Answer by loni1234(7) About Me  (Show Source):
You can put this solution on YOUR website!
a+b+c=180
a=3b
b+c=90,
because a=3b than 3b+b+c=180
b+c=90

c=180-4b
b+c=90
because c=180-4b than b+180-4b=90 , -3b=-90, b=30,
now c=180-4b=180-120=60 and a=3b=90.

a+b+c=180, 90+30+60=180