Question 712592: A triangle contains three angles: a,b, and c. Angle b is twice angle a, and c is 20 more than angle a. Find the measures of the . The measures of the the angles inside a triangle total 180
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! x = angle a
2x = angle b {angle b is twice angle a}
x + 20 = angle c {angle c is 20 more than angle a}
x + 2x + x + 20 = 180 {angles of a triangle add up to 180}
4x + 20 = 180 {combined like terms}
4x = 160 {subtracted 20 from each side}
x = 40 {divided each side by 4}
2x = 80 {substituted 40, in for x, into 2x}
x + 20 = 60 {substituted 40, in for x, into x + 20}
40°, 60°, and 80° are the three angles
For more help from me, visit: www.algebrahouse.com
|
|
|
