Answer:
Reason A - Given
Reason B - Angle Addition Postulate
Reason C - Substitution Property
Reason D - Subtraction Property
Explanation:
Given: m∠ABE = m∠CBD
Prove: m∠ABD = m∠CBE
1.
- given (reason A)
2.
- Angle Addition Postulate (reason B)
Angle Addition Postulate states that the measure of an angle formed by two angles side by side is the sum of the measures of the two angles.
3.
- Angle Addition Postulate
4.
- substitution property (reason C)
5.
- subtraction property (reason D)