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

Algebra ->  Human-and-algebraic-language -> SOLUTION: In a triangle, the sum of the interior angles is 180 degrees. If angle A is three times as large as angle B, and angles B and C sum to 90 degrees, what is the measure of each angl      Log On


   

Question 142643: In a triangle, the sum of the interior angles is 180 degrees. If angle A is three times as large as angle B, and angles B and C sum to 90 degrees, what is the measure of each angle?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
B+C=90 OR C=90-B
A=3B
NOW WE ADD THE THREE ANCLES A,B & C.
3B+B+(90-B)=180
3B+B+90-B=180
3B=180-90
3B=90
B=90/3
B=30 DEGREES.
A=3830=90 DEGREES.
C=90-30
C=60 DEGREES.
PROOF:
90+30+60=180
180=180