Answer:
74
Step-by-step explanation:
Since FH || JM and HJ || MF,
So, the given figure FHJM is a parallelogram.
Given:
To find:
Solution:
In this case:
m∠J and m∠H are co interior angle.
Co-interior angles are a pair of non-adjacent interior angles that lie on the same side of a transversal intersecting two parallel lines. In a parallelogram, they are formed by the intersection of the transversal with one side of the parallelogram and an adjacent side.
And;
The sum of co-interior angles in a parallelogram is always 180°
So, we can say that:
m∠F + m∠J = 180°
Substitute the value:
m∠F + 106° = 180°
Subtract 106° on both sides:
m∠F + 106° - 106° = 180° - 106°
m∠F = 74°
Therefore, the answer is 74.
