Question

given ▶ $m\angle 1 = m\angle 3$
prove ▶ $m\angle eba = m\angle dbc$

steps | reasons
--- | ---

1. $m\angle 1 = m\angle 3$ | select an answer
2. $m\angle eba = m\angle 3 + m\angle 2$ | select an answer
3. $m\angle eba = m\angle 1 + m\angle 2$ | select an answer
4. $m\angle 1 + m\angle 2 = m\angle dbc$ | select an answer
5. $m\angle eba = m\angle dbc$ | select an answer

select an answer
substitution property of =
given
angle addition postulate
transitive property of =
definition of congruent angles

submit question
question 6

Explanation:

Step1: State given information

$m\angle 1 = m\angle 3$
Reason: Given

Step2: Apply Angle Addition Postulate

$m\angle EBA = m\angle 3 + m\angle 2$
Reason: Angle Addition Postulate

Step3: Substitute equal angles

$m\angle EBA = m\angle 1 + m\angle 2$
Reason: Substitution property of =

Step4: Apply Angle Addition Postulate

$m\angle 1 + m\angle 2 = m\angle DBC$
Reason: Angle Addition Postulate

Step5: Apply transitive property

$m\angle EBA = m\angle DBC$
Reason: Transitive Property of =

Answer:

1. Reason: Given
2. Reason: Angle Addition Postulate
3. Reason: Substitution property of =
4. Reason: Angle Addition Postulate
5. Reason: Transitive Property of =