Question

look at this diagram:
if ik and ln are parallel lines and m∠ijm = 57.3°, what is m∠ijh?
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Explanation:

Step1: Use the property of supplementary angles

When two angles form a linear - pair (they are adjacent and their non - common sides form a straight line), they are supplementary. That is, if two angles \(\angle IJM\) and \(\angle IJH\) form a linear - pair, then \(m\angle IJM+m\angle IJH = 180^{\circ}\).
We know that \(m\angle IJM = 57.3^{\circ}\). Let \(x=m\angle IJH\). Then the equation is \(57.3^{\circ}+x = 180^{\circ}\).

Step2: Solve the equation for \(x\)

Subtract \(57.3^{\circ}\) from both sides of the equation \(57.3^{\circ}+x = 180^{\circ}\).
\(x=180^{\circ}- 57.3^{\circ}\).
\(x = 122.7^{\circ}\).

Answer:

\(122.7^{\circ}\)