Find the angle ACE.

Solution:

• In triangle ABC, the sum of angles is 180 degrees. Angle BAC = 55 degrees. Angle ABC = 90 degrees. Therefore, Angle ACB = 180 - 90 - 55 = 35 degrees.
• In triangle CDE, Angle CED = 35 degrees. Angle CDE = 90 degrees. Therefore, Angle DCE = 180 - 90 - 35 = 55 degrees.
• Angle ACE = Angle ACB + Angle DCE = 35 + 55 = 90 degrees.

Answer: 90