Question

if ( mangle ehd = 106^{circ} ), then what is ( mangle fhc )?

Explanation:

Step1: Recognize vertical angles

Vertical angles are equal. $\angle EHD$ and $\angle FHC$ are vertical angles.

Step2: Apply the vertical - angle property

Since $\angle EHD$ and $\angle FHC$ are vertical angles, $m\angle FHC=m\angle EHD$.
Given $m\angle EHD = 106^{\circ}$, so $m\angle FHC=106^{\circ}$.

Answer:

$106^{\circ}$