SOLUTION: The measure of the largest angle of a triangle is twice the measure of the smallest angle and 20 more than the measure of the third angle. find the measure of each angle.

Question 243948: The measure of the largest angle of a triangle is twice the measure of the smallest angle and 20 more than the measure of the third angle. find the measure of each angle.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
The measure of the largest angle of a triangle is twice the measure of the smallest angle and 20 more than the measure of the third angle. find the measure of each angle.
answer:
plan: remember the angles of a triangle add up to 180 degrees.
let a= first angle (largest)
b=second angle (smallest)
c=third angle
a=2*b
solve for b in terms of a
b=1/2a
a=20+c
solve for c in terms of a
c=a-20
a+b+c=180
substitute
a+(1/2a)+(a-20)=180
2.5a-20=180
2.5a=200
multiply by 10
25*a=2000
factor 2000 for easier division
2000=100*20
2000=(25*4)*20
25*a=2000
25*a= (25*4)*20
divide by 25
a=80 degrees
b=40 degrees (1/2 a)
c=60 degrees (a-20)
check
80+40+60=180

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