Answer:
We know that in a triangle, the sum of the angles is 180 degrees.
Therefore, m∠bcd + m∠bcw + m∠wcd = 180
Given, m∠wcd = 58° and m∠bcw = 72°
We can substitute these values in the equation above to find the measure of the third angle:
m∠bcd + 72 + 58 = 180
m∠bcd = 180 - 130 = 50 degrees
Therefore, the measure of angle BCD is 50 degrees.