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mash [69]
3 years ago
5

I’m so confused someone help please! (Geometry)

Mathematics
1 answer:
sladkih [1.3K]3 years ago
6 0

Answer:

Therefore, x = 23°, ∠LKM = 56° and ∠MKN = 89° .

Step-by-step explanation:

Given that ∠LKN is 145° so we can assume that ∠LKM addes together with ∠MKN will get 145° in terms of x :

∠lkn = ∠lkm + ∠mkn = 145

2x + 10  + 4x - 3 = 145

6x + 7 = 145

6x = 145 - 7

6x = 138

x = 138 \div 6 = 23

Next, we have to substitute x = 23° into the expressions of ∠LKM and ∠MKN :

∠lkm = 2(23) + 10 = 56

∠mkn = 4(23) - 3 = 89

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