Ray UW is the angle bisector of VUT.

If mVUW = (4x + 6) ° and mWUT = (6x - 10) °, what is the measure of WUT?

32°

38°

48°

76°

In the question "Ray UW is the angle bisector of VUT. If mVUW = (4x + 6) ° and mWUT = (6x - 10) °, what is the measure of WUT?" It was given that UW is the angle bisector of VUT, which means that mVUW = mWUT. i. e. 4x + 6 = 6x - 10 6x - 4x = 6 + 10 2x = 16 x = 8 Therefore, the measure of WUT = 6x - 10 = 6 (8) - 10 = 48 - 10 = 38