SOLUTION: one angle of a triangle is twice the first angle. The third angle is eight more that the first angle. find the measure of each angle.
Algebra.Com
Question 453810: one angle of a triangle is twice the first angle. The third angle is eight more that the first angle. find the measure of each angle.
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
"one angle of a triangle is twice the first angle. The third angle is eight more that the first angle. find the measure of each angle."
x = first angle
2x = second angle {one angle is twice the first}
x + 8 = third angle {third angle is 8 more than first}
x + 2x + x + 8 = 180 {angles of a triangle add up to 180}
4x + 8 = 180 {combined like terms}
4x = 172 {subtracted 8 from both sides}
x = 43 {divided both sides by 4}
2x = 86 {substituted 43, in for x, into 2x}
x + 8 = 51 {substituted 43, in for x, into x + 8}
43, 86, and 51 are the three angles
www.algebrahouse.com
RELATED QUESTIONS
one angle of a triangle has a measure that is 10 more than twice that of the second... (answered by checkley71)
ONE ANGLE OF A TRIANGLE HAS A MEASURE THAT IS 10 MORE THAN TWICE THAT OF THE SECOND... (answered by checkley71)
The second angle of a triangle is twice the first angle. The third angle is 20 degrees... (answered by checkley71)
the second angle of a triangle is twice the first angle. the third angle is 20 degrees... (answered by checkley77)
The second angle of a triangle is twice the first angle. the third angle is 20 degrees... (answered by stanbon)
In a triangle, the measure of the first angle is 20 more than the measure of the second... (answered by Fombitz)
The measure of the second angle of a triangle is 50 more than that of the first angle.... (answered by ankor@dixie-net.com)
the measure of the second angle in a triangle is four more than the measure of the first... (answered by solver91311)
The measure of the second angle in a triangle is four more than the measure of the first... (answered by rfer)