Question

what are ( mangle e ) and ( mangle h )?( mangle e = square^circ )( mangle h = square^circ )

Explanation:

Step1: Use cyclic quadrilateral property

In cyclic quadrilateral \(EFGH\), opposite angles sum to \(180^\circ\). First find \(m\angle E\):
\(m\angle E + m\angle G = 180^\circ\)
\(m\angle E = 180^\circ - 78^\circ\)

Step2: Calculate \(m\angle E\)

\(m\angle E = 102^\circ\)

Step3: Find \(m\angle H\) using same property

\(m\angle H + m\angle F = 180^\circ\)
\(m\angle H = 180^\circ - 74^\circ\)

Step4: Calculate \(m\angle H\)

\(m\angle H = 106^\circ\)

Answer:

\(m\angle E = 102^\circ\)
\(m\angle H = 106^\circ\)