Answer:
1. Angle forming a linear pair sum to 180°
2. Transitive property of equality
3. Algebra
4. Definition of congruency
Explanation:
The given statement and reasons are presented as follows;
Statement
Reason
1. m∠GKH + m∠HKI = 180°
1. Angle forming a linear pair sum to 180°
m∠HKI + m∠IKJ = 180°
2. m∠GKH + m∠HKI = m∠HKI + m∠IKJ
2. Transitive property of equality
3. m∠GKH = m∠IKJ
3. Algebra
4. m∠GKH ≅ m∠IKJ 4. Definition of congruency
The explanation are;
1. The sum of angles on a straight line is 180°
2. The transitive property of equality can be written as follows;
Given a = c and b = c, therefore, a = b
3. The addition property of equality states that given a + b = c + b, therefore a = c
4. Two geometric figures are said to be congruent when they are equal.