Question

Given: BD is perpendicular to AC, measure DBA = 7x+6. Find x

Answer 1

x = 12

Explanation:

`\because BD \perp AC... (given) \\\\</p><p>\therefore m\angle DBA =90\degree... (1)\\\\</p><p>\because m\angle DBA=(7x + 6)\degree... (2)\\`

From equations (1) & (2)

`(7x + 6)\degree= 90\degree \\\\</p><p>7x + 6 =90\\\\</p><p>7x = 90 - 6\\\\</p><p>7x = 84\\\\</p><p>x = (84)/(7)\\\\</p><p>\huge \orange {\boxed {x = 12}}`