Answer:
Statements 1, 2, 4, and 5.
Step-by-step explanation:
(Follow along with the diagram)
The first thing we should do is figure out the measure of every angle. We know immediantly that CED is 90 degrees, and consequently CEA is too. This verifies the first two statements. We are told that EB bisects AEC (AEC = CEA). This means that EB splits AEC into two congruect angles, BEA and CEB. If BEA = CEB, and BEA + CEB = CEA, then BEA and CEB both equal 45 degrees. This verfies statement 4, and helps us start statement 5. Statement 5 says that DEB = 135 degrees. We can see that the angle DEB is made up of angles CEB and CED. We already know that CEB = 45, and CED = 90. 90 + 45 = 135. So, statement 5 is true.
Regarding the incorrect statements, I will explain why they are false. We deduced that BEA = 45, so statement 6, stating that AEB (same as BEA) is 35, is not true. Statement 3 says that CEA = 1/2 of CEB. This equation regards the angles' measurements. If we plug in their known measurements, the equation reads 90 = 1/2 of 45. Through logic, we know this is not true. So, statement 3 is also false.
