Respuesta :

Answer:

[tex]75^\circ[/tex]

Explanation:

[tex]\mathrm{m\angle7=m\angle9=75^\circ}\ \ \ [\text{Vertically opposite angles are equal in measure.}][/tex]

OR

[tex]\mathrm{m\angle7+m\angle8=180^\circ}\ \ \ \ [\text{Sum of angles in straight line is 180}^\circ.]\\\text{or, m}\angle7+105^\circ=180^\circ\\\text{or, m}\angle7=75^\circ[/tex]