Question

in triangle fgh, m∠f = 59° and m∠h = 77°. complete the equation to determine m∠g. drag a number or expression into each box. m∠g = ⬜°-(⬜)° 77 - 59, 44, 59, 77, 90, 59 + 77, 180, 360

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, for triangle FGH, \(m\angle F+m\angle G + m\angle H=180^{\circ}\).

Step2: Solve for \(m\angle G\)

We can rewrite the equation as \(m\angle G=180^{\circ}-(m\angle F + m\angle H)\). Given \(m\angle F = 59^{\circ}\) and \(m\angle H = 77^{\circ}\), then \(m\angle G=180-(59 + 77)\).

Answer:

\(m\angle G = 180-(59 + 77)\)