Question

figure below, $\triangle klm$ is drawn. the line $overleftrightarrow{nko}$ is drawn such that $overleftrightarrow{nko}$$mangle klm = mangle lkn$ because they are alternate interior angles.$mangle lmk = mangle mko$ because they are alternate interior angles.$mangle lkn + x^circ + mangle mko = 180^circ$ because the three angles form a straight line.so the value of $x$ must be $square$

Explanation:

Step1: Identify equal alternate angles

$m\angle LKN = 29^\circ$, $m\angle MKO = 83^\circ$

Step2: Use straight line angle sum

$m\angle LKN + x^\circ + m\angle MKO = 180^\circ$
Substitute values: $29 + x + 83 = 180$

Step3: Calculate $x$

Combine constants: $112 + x = 180$
Solve for $x$: $x = 180 - 112$

Answer:

$68$