Question

In the figure below, ABD measures 37. What is the measure of ABC?
http://media.apexlearning.com/Images/201306/27/6bb0878c-5aab-47d1-aa4f-b2972a68915d.JPG

A. 47
B. 64
C. 74
D. 37

Answer 1

Because both triangles are right triangles and the mark in the middle of CD and DA indicate that CD=DA, you know that angle ABD= angle BCD. Because you know that angle ABD=37 (the problem tells you), that means that angle BCD=37 also.
Also, angle ABC encompasses both angles ABD and BCD. In other words, angle ABC= angle BCD+angle ABD
So substitute for the values you know:
Angle ABC= 37 + 37
Angle ABC= 74

Answer 2

thank u @ijakez