Question

Can someone please help me? thanks!

Answer 1

x = 8

`m\angle A= 30\degree`

Explanation:

By interior angle on one side of transversal postulate.

`m\angle A + m\angle B = 180\degree \\</p><p>\therefore (6x - 18)\degree + (14x + 38)\degree = 180\degree \\</p><p>\therefore (20x + 20)\degree = 180\degree \\</p><p>\therefore 20x + 20 = 180</p><p>\therefore 20x = 180 - 20\\</p><p>\therefore 20x = 160\\\\</p><p>\therefore x = \frac {160}{20}\\\\</p><p>\huge \red {\boxed {\therefore x = 8}} \\\\</p><p>\because m\angle A= (6x - 18)\degree \\</p><p>\therefore m\angle A= (6* 8- 18)\degree \\</p><p>\therefore m\angle A= (48- 18)\degree \\</p><p>\huge \purple {\boxed {\therefore m\angle A= 30\degree}} \\`