SOLUTION: in a triangle the measure of the first angle is three times the measure of the second angle. the measure of the third angle is 20 degrees less than the second angle. what is the

Question 863294:
in a triangle the measure of the first angle is three times the measure of the second angle. the measure of the third angle is 20 degrees less than the second angle. what is the measure of each angle
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
LET 3X BE THE FIRST ANGLE
LET X BE THE SECOND ANGLE.
LET X-20 BE THE THIRD ANGLE.
3X+X+(X-20)=180
5X=180+20
5X=200
X=200/5
X=40 DEGREES FOR THE SECOND ANGLE
3*40=120 DEGREES FOR THE FIRST ANGLE.
40-20=20 DEGREES FOR THE THIRD ANGLE.
PROOF:
120+40+20=180
180=180

RELATED QUESTIONS
In a triangle the measure of the first angle is three times the measure of the second... (answered by cleomenius)

the measure of the second angle of a triangle three times the measure of the first and... (answered by rfer)

In a triangle, the measure of the first angle is 4 times the measure of the second angle. (answered by TimothyLamb,MathTherapy)

in a triangle, the measure of one angle is twice the measure of the second angle. The... (answered by rfer)

In a triangle, the second angle is twice the measure of the first, and the third angle is (answered by ankor@dixie-net.com)

The sum of the angles of a triangle is 180. The second angle is three times the measure... (answered by ikleyn)

In a triangle, the measure of the first angle is twice the measure of the second angle.... (answered by mathchemprofessor)

In a triangle, the measure of the first angle is 20 more than the measure of the second... (answered by Fombitz)

In a triangle, the measure of the second angle is twice the measure of the first angle.... (answered by Mathtut)