Using the above conditions ; If m ∠LOM = m ∠JKI, if m ∠MON = m ∠IKH it is proved below that m ∠LON = m ∠HKJ as are congruent angles.
<h3>What are congruent angles about?</h3>
An angle is known to be Congruent if its angles do have equal measure."
Note that question, In the said figure of the angles (image attached),
m ∠LOM = m ∠JKI (congruent angles) taken as 1
m ∠MON = m ∠IKH (congruent angles) taken as 2
The one should sum up both the side angle of m ∠MON in (1) we obtain;
m ∠LOM + m ∠MON = m ∠JKI + m ∠MON
Then one should replace angle m ∠MON = m ∠IKH from (eqn. 2) on right hand side and then it will be:
m ∠LOM + m ∠MON = m ∠JKI + m ∠IKH taken as (3)
Then:
m ∠LOM + m ∠MON = m ∠LON ( M is said to be the interior point of ∠LON) taken as (4)
Since m ∠JKI + m ∠IKH = m ∠HKJ ( I is said to be the interior point of ∠HKJ) taken as number (5)
Using Number (3) , (4) and (5) in the image attached, we obtained:
m ∠LON = m ∠HKJ (Congruent angles)
Therefore, Using the above conditions ; If m ∠LOM = m ∠JKI, if m ∠MON = m ∠IKH it is proved below that m ∠LON = m ∠HKJ as are congruent angles.
Learn more about Congruent angles here
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