Question

I'VE ASKED THIS ONE EARLIER BUT NOBODY ANSWERED Point D is in the interior of \small \angle ABC, \small m\angle ABC=20x-15, \small m\angle ABD=6x-5, and \small m\angle DBC=x+16. What is \small m\angle ABD? \small m\angle ABD= degrees

Answer 1

I hope this will help. If you have questions just message me

Answer 2

7°

Explanation:

Since, Point D is in the interior of angle ABC.

Therefore,

`m\angle ABC = m\angle ABD + m\angle DBC\\</p><p>20x - 15 = 6x - 5 + x + 16\\</p><p>20x - 15 = 7x + 11\\</p><p>20x - 7x = 11+15\\</p><p>13x = 26 \\ x = (26)/(13) \\ x = 2 \\ \\ m\angle ABD = (6x - 5) \degree \\ m\angle ABD = (6 * 2 - 5) \degree\\ m\angle ABD = (12 - 5) \degree \\ \huge \red{ \boxed{ m\angle ABD = 7\degree}}`