Answer:
1. 44
2. 68
Step-by-step explanation:
1. As we can see from the diagram, lengths BC and AB are congruent (equal). That means that angle BCA and angle BAC are congruent. We can find angle BAC and BCA by subtracting 92 from 180 (sum of angles in a triangle is 180) and dividing by 2:
180 - 92 = 88
88/2 = 44
2. Since we know that angle BCA is 44, angle DCE would be 44 too because they are opposite each other. We know that lengths CD and CE are congruent so we can find angle CDE and CED by subtracting 42 from 180 and dividing by 2:
180-44 = 136
136/2 = 68
