<span>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
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Answer: 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
