Question

look at this diagram. if $overleftrightarrow{ik}$ and $overleftrightarrow{ln}$ are parallel lines and $mangle kjm = 69^{circ}$, what is $mangle kjh$?

Explanation:

Step1: Recall linear - pair property

A linear - pair of angles is supplementary, meaning the sum of the measures of two angles that form a linear - pair is 180°.

Step2: Identify linear - pair angles

∠KJM and ∠KJH form a linear - pair. So, m∠KJM + m∠KJH=180°.

Step3: Solve for m∠KJH

Given m∠KJM = 69°, we substitute into the equation: m∠KJH=180° - m∠KJM. Then m∠KJH = 180°-69° = 111°.

Answer:

111