Question

In the diagram of AKLM below, mZL=70, m ZL=50, and MK is extended through N.L70°50°Ν ΚMVhat is the measure of ZLKN?

Answer 1

$\measuredangle LKN=60\text{ degr}ees$

Explanation

the sum of the internal angles of a triangle must be equal to 180

then

green angle+blue angle +red angle=180

replacing

$\begin{gathered} 70+50+x=180 \\ \text{add similar terms} \\ 120+x=180 \\ \text{subtract 120 in both sides} \\ 120+x-120=180-120 \\ x=60 \end{gathered}$

so,

$\measuredangle LKN=60\text{ degr}ees$