Question

ihgf ≅ qnop, what is m∠g?
□°

Explanation:

Step1: Recall the property of congruent polygons

Congruent polygons have corresponding angles equal.

Step2: Identify the corresponding angle

Since \(IHGF\cong QNOP\), \(\angle G\) corresponds to \(\angle N\).

Step3: Calculate the measure of \(\angle G\)

The sum of the interior angles of a quadrilateral is \(360^{\circ}\).
For quadrilateral \(QNOP\), let \(m\angle N = x\). Then \(x+ 68^{\circ}+58^{\circ}+148^{\circ}=360^{\circ}\).
First, add the known angles: \(68 + 58+148=274^{\circ}\).
Then, \(x=360 - 274=86^{\circ}\).

Answer:

\(86\)