Question

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m∠e+ = 180°
m∠h+ = 180°
m∠e + m∠f + m∠g + m∠h =

Explanation:

Step1: Recall linear - pair property

If two angles form a linear - pair, their sum is 180°. For \(m\angle E\), its linear - pair angle will make the sum 180°. Similarly for \(m\angle H\).

Step2: Recall sum of angles around a point

The sum of angles around a point is 360°. So \(m\angle E + m\angle F + m\angle G + m\angle H=360^{\circ}\)

Answer:

For \(m\angle E+\boxed{\text{its linear - pair angle}} = 180^{\circ}\)
For \(m\angle H+\boxed{\text{its linear - pair angle}} = 180^{\circ}\)
For \(m\angle E + m\angle F + m\angle G + m\angle H=\boxed{360^{\circ}}\)