Question

look at this diagram:
if (overleftrightarrow{gi}) and (overleftrightarrow{jl}) are parallel lines and (mangle{jkh}=126^{circ}), what is (mangle{lkm})?
work it out
not feeling ready yet? these can help:

Explanation:

Step1: Recall the property of supplementary angles

Supplementary angles add up to \(180^{\circ}\).

Step2: Set up the equation

Let \(m\angle LKM = x\). Since \(\angle JKH\) and \(\angle LKM\) are supplementary (they form a linear pair), we have \(x + 126^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

Subtract \(126^{\circ}\) from both sides of the equation: \(x=180^{\circ}- 126^{\circ}\).
\(x = 54^{\circ}\)

Answer:

\(54\)