Question

Need help with both of these please!! ASAP

Answer 1

x = 1

Answer:

`m\angle XVW = 100\degree`

Explanation:

In the first figure, FP is the bisector of
`\angle DFE`

`\therefore m\angle 1 = m\angle 2\\</p><p>\therefore 44x + 1 = 46x - 1\\</p><p>\therefore 1 + 1 = 46x - 44x\\</p><p>\therefore 2 = 2x\\</p><p>\therefore (2)/(2) = x \\</p><p>\huge \red {\boxed {\therefore x = 1}}`

In the second figure, VP is the bisector of
`\angle XVW`

`\therefore m\angle 1 = m\angle 2\\</p><p>\therefore 12x + 2 = 11x +6\\</p><p>\therefore 12x - 11x = 6 - 2\\</p><p>\therefore x = 4\\</p><p>\because m\angle XVW = m\angle1 + m\angle 2\\</p><p>\therefore m\angle XVW = 12x + 2 + 11x +6\\</p><p>\therefore m\angle XVW = 23x + 8\\</p><p>\therefore m\angle XVW = 23* 4+ 8\\</p><p>\therefore m\angle XVW = 92+ 8\\</p><p>\huge \purple {\boxed {\therefore m\angle XVW = 100\degree}} \\</p><p>`