SOLUTION: a. The measure of angle CBD is 10 less than twice the measure of angle ABD. If D is in the interior of angle ABC and the measure of angle ABC is 80, what is the measure of angle CB

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Question 151781: a. The measure of angle CBD is 10 less than twice the measure of angle ABD. If D is in the interior of angle ABC and the measure of angle ABC is 80, what is the measure of angle CBD?
Answer by jojo14344(1512) (Show Source):
You can put this solution on YOUR website!
We take the 1st condition: a. The measure of angle CBD is 10 less than twice the measure of angle ABD.
-----------------------> eqn 1
Since is in the interior of angle , there forms an angle right? Therefore, angle , see the correlation there?
It's better you draw it to follow the interpretation better.
Since , then ---------------------> eqn 2
.
Equating the 2 eqns:

Go back eqn 2:

-----------------> FINAL ANSWER
IN doubt? go back eqn 1:

cool,
Thank you,
Jojo