20 POINTS!! can someone please help me? i will give brainiest to the right answer.

Step-by-step explanation:

Since lines p || q are parallel to one another, let us find all the 8 angles,

        1 and 7 are vertically opposite angles and they are equal;

    since angle 1 is 75°, then angle 7 is 75°

 Also, angle 7 and 5 are corresponding angles, corresponding angles are equal;

    So,

         angle 5  = 75°

 Angle 5 is vertically opposite to angle 3,

   So,

       angle 3  = 75°

To find angle 4,

    angle 4 and angle 5 are angles on a straight line;  

       sum of angles on a straight line = 180°

     angle 4 + angle 5  = 180°

     angle 4 = 180 - 75 = 105°

Angle 2 and Angle 4 are corresponding angles and they are equal;

    So angle 2 = 105°

Angle 4 and angle 6 are vertically opposite and they are equal;

   angle 6  =  105°

Angle 6 and 8 are corresponding angles, they are equal;

     angle 8 =  105°

step-by-step explanation: