Question

look at this diagram:
if (overleftrightarrow{ik}) and (overleftrightarrow{ln}) are parallel lines and (mangle lmj = 44^{circ}), what is (mangle ijh)?
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Explanation:

Step1: Find the measure of ∠JMN

Since \( \overleftrightarrow{IK} \parallel \overleftrightarrow{LN} \), \( \angle LMJ\) and \( \angle JMN\) are supplementary angles.
\(m\angle LMJ + m\angle JMN=180^{\circ}\)
Given \(m\angle LMJ = 44^{\circ}\), then \(m\angle JMN=180^{\circ}- 44^{\circ}=136^{\circ}\)

Step2: Use the property of vertical angles

\(\angle IJH\) and \(\angle JMN\) are vertical angles.
Vertical angles are equal. So \(m\angle IJH=m\angle JMN\)

Answer:

\(136\)