Question

find fg and m∠g.
fg =
□
m∠g =
□°

Explanation:

Step1: Identify parallelogram properties

In parallelogram \(GFEH\), opposite sides are equal, so \(FG = HE\).

Step2: Assign value to FG

Given \(HE = 8\), so \(FG = 8\).

Step3: Use consecutive angles property

In a parallelogram, consecutive angles are supplementary: \(m\angle G + m\angle E = 180^\circ\).

Step4: Calculate \(m\angle G\)

Substitute \(m\angle E = 60^\circ\):
\(m\angle G = 180^\circ - 60^\circ = 120^\circ\)

Answer:

\(FG = 8\)
\(m\angle G = 120^\circ\)