Question

Helppppp ASAP WILL MARK BRAINLIEST!!!!!!!!!!

Answer 1

Answer:

$m\angle GKH=m\angle JKI$   Subtraction Property

Step-by-step explanation:

We are given that line GI intersects line JH at point K. The proof of $m\angle GKH\cong m\angle JKI$ is shown.

To complete the 5th statement in the proof.

Solution:

To prove ∠GKH ≅ ∠JKI , we need to first show that $m\angle GKH=m\angle JKI$

From the 4th statement given we can use the properties of equality.

4th Step is as follows :

$m\angle GKH+m\angle HKI=m\angle JKI+m\angle HKI$

Using subtraction property: [If  $a+b=c+b$ , then $a=c$]

Subtracting both sides by m∠HKI

$m\angle GKH+m\angle HKI-m\angle HKI=m\angle JKI+m\angle HKI-m\angle HKI$

Thus, we have the 5th step as:

$m\angle GKH=m\angle JKI$