Answer:
m∠GKH = m∠JKI Subtraction Property
Step-by-step explanation:
Given:
Line GI intersects line JH at point K. The proof of ∠GKH ≅ ∠JKI is shown.
To complete the 5th step in the proof.
Solution:
In order to prove ∠GKH ≅ ∠JKI , we need to first show that m∠GKH = m∠JKI .
We can use properties of equality to prove it.
4th Step is as follows :
[tex]m\angle GKH+m\angle HKI=m\angle JKI+m\angle HKI[/tex]
Using subtraction property:
Subtracting both sides by m∠HKI
[tex]m\angle GKH+m\angle HKI-m\angle HKI=m\angle JKI+m\angle HKI-m\angle HKI[/tex]
Thus, we have the 5th step as:
[tex]m\angle GKH=m\angle JKI[/tex]
