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.Com
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) (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
RELATED QUESTIONS
In a triangle, the sum of the interior angles is 180 degrees. If angle A is three times... (answered by checkley71)
In a triangle, the sum of the interior angles is 180 degrees. If angle A is three times... (answered by gsmani_iyer)
In a triangle, the sum of the interior angles is 180 degrees. If angle A is three times... (answered by oscargut)
In a triangle, the sum of the interior angles is 180 degrees. If angle A is three times... (answered by checkley77)
6.
In a triangle, the sum of the interior angles is 180 degrees. If angle A is three... (answered by checkley77)
In a triangle, the sum of the interior angles is 180 degrees. If angla A is three times... (answered by solver91311)
Any help with this system of linear equation would be appreciated.
In a triangle, the... (answered by Earlsdon)
How to translate into equations to be solved? Thanks!
In a triangle, the sum of the... (answered by snovember85)
In triangle ABC, angle B is five times as large as angle C. Angle A
measures 5 degrees... (answered by mananth)