Final answer:
In a triangle, the sum of the three angles is always 180 degrees. To find angle BCA, we can subtract the sum of angles ABC and CAB from 180 degrees.
Step-by-step explanation:
In a triangle, the sum of the three angles is always 180 degrees. We know that angle ABC is 34 degrees and angle CAB is 64 degrees. To find angle BCA, we can subtract the sum of angles ABC and CAB from 180 degrees.
180 degrees - (34 degrees + 64 degrees) = 180 degrees - 98 degrees = 82 degrees.
Therefore, angle BCA is 82 degrees.