Question

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

Answer 1

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 :

$∠lkm = 2(23) + 10 = 56$

$∠mkn = 4(23) - 3 = 89$