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XZ¯¯¯¯¯¯¯¯ is the bisector of ∠WXY. If m∠WXY=9x+12 and m∠YXZ=6x−6, what is m∠WXZ?

User Jonas T
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1 Answer

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Answer:

42°

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

User Barbosa
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