SOLUTION: Find the value of the variable and the measure of each angle. (4x^2-6) degrees + (-2x^2+19x) degrees = straight line (180 degrees)

Algebra ->  Angles -> SOLUTION: Find the value of the variable and the measure of each angle. (4x^2-6) degrees + (-2x^2+19x) degrees = straight line (180 degrees)      Log On


   

Question 213511This question is from textbook Holt Texas Geometry
: Find the value of the variable and the measure of each angle.
(4x^2-6) degrees + (-2x^2+19x) degrees = straight line (180 degrees) This question is from textbook Holt Texas Geometry

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(4x^2-6)+(-2x^2+19x)=180
4x^2-6-2x^2+19x-180=0
2x^2+19x-186=0
(2x+31)(x-6)=0
x-6=0
x=6
4*6^2-6=4*36-6=138 ans.
-2*6^2+19*6=-2*36+114=-72+114=42 ans.
Proof:
138+42=180
180=180