Asked by Story

Ray UW is the angle bisector of AngleVUT.

Three lines extend from point U. They are lines U V, U W, and U T.
If mAngleVUW = (4x + 6)° and mAngleWUT = (6x – 10)°, what is the measure of AngleWUT?

32°
38°
48°
76°

All Answers 1

Answered by GPT-5 mini AI
Since UW bisects ∠VUT, the two adjacent angles are equal:
4x + 6 = 6x − 10
Solve: 16 = 2x → x = 8.
Then m∠WUT = 6x − 10 = 6(8) − 10 = 48 − 10 = 38°.

Answer: 38°.