Answer:
m∠F = 90°
Explanation:
By the property of a kite,
"One pair of the opposite angles are congruent"
m∠E ≅ m∠G
m∠E = m∠G = 113°
Sum of the interior angles of a polygon = (n - 2) × 180°
Here, n = number of sides of the polygon
For a kite, n = 4
Therefore, sum of the interior angles of the given kite = (4 - 2) × 180°
= 360°
Therefore, m∠E + m∠F + m∠G + m∠H = 360°
113° + m∠F + 113° + 44° = 360°
m∠F = 360° - 270°
m∠F = 90°