5) CM is the bisector of angle ACD, angle ACD = 62 degrees.

Solution:

• The problem states that CM is the bisector of angle ACD.
• This means that angle ACM is equal to angle MCD.
• We are given that angle ACD = 62 degrees.
• Therefore, angle ACM = angle MCD = 62 / 2 = 31 degrees.
• The image also labels angle MCD as 'x'.

Answer: x = 31 degrees.