The measure of angle BCD is 160°
The measure of ∠BCD can be calculated thus ;
3x + 10 = 40 + 2x + 20 (Measure of exterior angle is equal to the sum of the two opposite interior angles)
3x + 10 = 60 + 2x
3x - 2x = 60 - 10
x = 50
BCD = 3x + 10
BCD = 3(50) + 10
BCD = 150 + 10
BCD = 160
Therefore, the measure of BCD is 160°