Respuesta :

Since the arrows indicate that those two lines are parallel, we can conclude that m2 is 75 degrees. This is because they are ALTERNATE angles; and alternate angles are always equal.

Now to find m1, you see that it is on the same STRAIGHT LINE as m2. What does a straight line equal to? 180 degrees! So from the degree of m2,

180 - 75 = 105

Therefore, m1 = 105 degrees, and m2 = 75 degrees

Hope this helped!

The measure of angles 1 and 2 are 105 and 75 degrees respectively.

The point where two lines meet is an angle.

From the diagram shown,

  • line x is parallel to line w
  • line y is parallel to line z
  • [tex]m\angle4 = 75 ^0[/tex] (corresponding angle)

Also, angle 1 and angle 4 is supplementary;

[tex]m\angle 1+m\angle4 =180\\m\angle 1+75=180\\m\angle 1=180-75\\m\angle 1=105^0[/tex]

Get the measure of m<2

Angle 1 and angle 2 is also supplementary;

[tex]m\angle 1+m\angle2 =180\\105+m\angle2=180\\m\angle 2=180-105\\m\angle 2=75^0[/tex]

Hence the measure of angles 1 and 2 are 105 and 75 degrees respectively.

Learn more here: https://brainly.com/question/20348771