Math help

Angle 1 and Angle 2 are supplementary. This means...

 

m∠1 + m∠2  =  180°

 

Angle 2 is vertical to a 75 degree angle. Since vertical angles are congruent.....

 

m∠2  =  75°

 

Now we can use this value of  m∠2  to find  m∠1 .

 

m∠1 + 75°  =  180°         Subtract  75°  from both sides of the equation.

 

m∠1   =   105°