Question

what are m∠g and m∠h?

m∠g = \boxed{\circ}
m∠h = \boxed{\circ}

Explanation:

Step1: Use the property of cyclic quadrilaterals

In a cyclic quadrilateral, the sum of opposite angles is \(180^{\circ}\).
For \(\angle G\) and \(\angle I\):
\(m\angle G+m\angle I = 180^{\circ}\)
Since \(m\angle I = 90^{\circ}\), then \(m\angle G=180^{\circ}- 90^{\circ}\)
\(m\angle G = 90^{\circ}\)

Step2: Use the property of cyclic quadrilaterals for \(\angle H\) and \(\angle F\)

\(m\angle H+m\angle F=180^{\circ}\)
Given \(m\angle F = 79^{\circ}\), then \(m\angle H=180^{\circ}-79^{\circ}\)
\(m\angle H = 101^{\circ}\)

Answer:

\(m\angle G = 90^{\circ}\), \(m\angle H=101^{\circ}\)