XZ¯¯¯¯¯¯¯¯ is the bisector of ∠WXY. If m∠WXY=9x+12 and m∠YXZ=6x−6, what is m∠WXZ?
1 answer:
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Answer:
42°
Step-by-step explanation:
The angle bisector means ∠WXZ = ∠YXZ.
∠WXY = 2×∠YXZ
9x +12 = 2(6x -6)
9x +12 = 12x -12 . . . . eliminate parentheses
24 = 3x . . . . . . . . . . add 12-9x
48 = 6x . . . . . . . . . multiply by 2
∠WXZ = 6x -6 = 48 -6 . . . . use the expression for the angle value
∠WXZ = 42 . . . degrees
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