Question

WÝ is the perpendicular
bisector of XZ.

Answer 1

2x+3=3x-5
They are equal since the perpendicular bisector cuts them perfectly in half
x=8

Answer 2

x = 8

Explanation:

The halves of a bisected segment are congruent, so we have ...

YZ = YX

3x -5 = 2x +3

x = 8 . . . . . . . . add 5-2x

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Additional comment

The right triangles are congruent, so ...

WZ = WX

2y +7 = 5y -8

15 = 3y

5 = y