Given:
EFGH is a square.
To find:
The [tex]m\angle FHG[/tex].
Solution:
We know that all interior angles of a square are right angles.
[tex]m\angle EHG=90^\circ[/tex] (Right angle)
The diagonals of square are always the angle bisectors.
FH is a diagonal of the square. So, it bisects the angle EHG.
[tex]m\angle FHG=\dfrac{m\angle EHG}{2}[/tex]
[tex]m\angle FHG=\dfrac{90^\circ}{2}[/tex]
[tex]m\angle FHG=45^\circ[/tex]
Therefore, the measure of angle FHG is 45 degrees.
