Question

look at this diagram: if (overleftrightarrow{ik}) and (overleftrightarrow{ln}) are parallel lines and (mangle kjm = 48^{circ}), what is (mangle kjh?)

Explanation:

Step1: Identify angle - type relationship

$\angle KJM$ and $\angle KJH$ are supplementary angles (linear - pair).

Step2: Use the supplementary - angle property

The sum of supplementary angles is $180^{\circ}$. So, $m\angle KJM + m\angle KJH=180^{\circ}$.

Step3: Solve for $m\angle KJH$

Given $m\angle KJM = 48^{\circ}$, then $m\angle KJH=180^{\circ}-m\angle KJM$. Substitute $m\angle KJM = 48^{\circ}$ into the equation: $m\angle KJH = 180 - 48=132^{\circ}$.

Answer:

$132$