Answer:
m∠BCD=63°
Step-by-step explanation:
we know that
In a parallelogram the opposite angles are congruent
so
m∠BCD=m∠BAD
Remember that the sum of the internal angles of triangle must be equal to 180 degrees
In the triangle ABD
see the attached figure to better understand the problem
m∠BAD+m∠ABD+m∠BDA=180°
substitute the given values
m∠BAD+83°+34°=180°
m∠BAD+117°=180°
m∠BAD=180°-117°
m∠BAD=63°
Remember that
m∠BCD=m∠BAD
therefore
m∠BCD=63°
