Question

Find x and m 2 ZXY.

(2x + 10)

(3x – 18)

Answer 1

x = 28

66°

Explanation:

`\because \overrightarrow{XZ}` is the bisector of
`\angle WXY`

`\therefore m\angle WXZ = m\angle ZXY\\</p><p>\therefore (2x + 10)\degree = (3x - 18)\degree \\</p><p>\therefore 2x + 10 = 3x - 18\\</p><p>\therefore 2x - 3x = - 18 - 10\\</p><p>\therefore - x = - 28\\</p><p>\huge \purple {\boxed {\therefore x = 28}} \\\\</p><p>\because m\angle ZXY= (3x - 18)\degree\\</p><p>\therefore m\angle ZXY= (3* 28- 18)\degree\\</p><p>\therefore m\angle ZXY= (84- 18)\degree\\</p><p>\huge \orange {\boxed {\therefore m\angle ZXY=66\degree}} \\`