Question

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

Answer 1

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

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 / 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`