If line UW bisects angle TUV,m angle TUW = 13x-5 and m angle WUV = 7x+31, find the value of x
since an angle bisector divides an angle into two equal parts, the two parts must be equal to each other. so, set angles TUV and TUW equal to each other and solve for x: 13x - 5 = 7x + 31 6x = 36 x = 6