SOLUTION: In the Triangle ABC, A=50, C=26 and AB is produced to D. Find ABC(B angle) and CBD(B angle). Answers are 104 and 76?

Algebra ->  Triangles -> SOLUTION: In the Triangle ABC, A=50, C=26 and AB is produced to D. Find ABC(B angle) and CBD(B angle). Answers are 104 and 76?      Log On


   

Question 1137222: In the Triangle ABC, A=50, C=26 and AB is produced to D. Find ABC(B angle) and CBD(B angle). Answers are 104 and 76?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of the angles of a triangle are 180.

if A = 50 and C = 27, then A + C = 76 which makes angle B equal to 104.

angle B is the same angle as ABC.

if you extend AB to point D, then angle CBD is supplementary to angle ABC which makes it equal to 180 - 104 = 76.

ABC is 104 degrees and CBD is 76 degrees.

the line AD is a straight line going through B./