Geometry
posted by John on .
Vw is bisected by xy and xz at x creating 3 angles if m< vxy= 6x14 and m<yxz=2x+5 and m<wxz=2x1 find the degree measures <vxy, <yxz, and <wxz

Draw a diagram. You see that the three named angles form a straight line, vw. Therefore, if you add them up, they must total 180°
6x14 + 2x+5 + 2x1 = 180
10x  10 = 180
x = 19
Now use that value of x to evaluate the three named angles. 
(6x14) + (2x+5) + (2x1)=0,when x=19,6x14 well be 6*19 14=100,when (2x+5) well be 2*19+5=43,when(2x1) well be 2*191=37.the all three angles will be 100+43+37=180.