SOLUTION: In triangle ABC, side AC is extended through C to point D to create external angle BCD. Angle A measures 47 degrees and external angle BCD mesures 113 degrees. What is the measure

Algebra ->  Triangles -> SOLUTION: In triangle ABC, side AC is extended through C to point D to create external angle BCD. Angle A measures 47 degrees and external angle BCD mesures 113 degrees. What is the measure       Log On


   

Question 623697: In triangle ABC, side AC is extended through C to point D to create external angle BCD. Angle A measures 47 degrees and external angle BCD mesures 113 degrees. What is the measure of angle B?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
In triangle ABC, side AC is extended through C to point D to create external angle BCD.
Angle A measures 47 degrees and external angle BCD mesures 113 degrees.
What is the measure of angle B?
:
Find angle C: 180 - 113 = 67 degrees
:
Find angle B:
180 - A - C = B
180 - 47 - 67 = 66 degrees