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Given that mLKN=145°, find the mLKM and mMKn

Given that mLKN=145°, find the mLKM and mMKn-example-1
User M Vignesh
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Answer: ∠LKM=56° and ∠MKN=89°

Explanation:

Notice that ∠LKM and ∠MKN make up ∠LKN. That means ∠LKM and ∠MKN combines equals 145°.

2x+10+4x-3=145 [combing like terms]

6x+7=145 [subtract both sides by 7]

6x=138 [divide both sides by 6]

x=23

We are almost done. We still need to plug it in to find the angle values.

∠LKM

2x+10 [plug in x=23]

2(23)+10 [multiply]

46+10 [add]

56

∠LKM=56°

------------------------------------------------------------------------------------------------------------

∠MKN

4x-3 [plug in x=23]

4(23)-3 [multiply]

92-3 [subtract]

89

∠MKN=89°

Therefore, ∠LKM=56° and ∠MKN=89°.

User Bimasakti
by
8.3k points

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