For this case we have by definition, that each of the four internal angles of a square measure 90 degrees.
If we draw the diagonals of the square then the angles are divided by two, that is:
[tex]\frac {90} {2} = 45[/tex]
Thus, angle 3 measures 45 degrees.
[tex]A3 = 45[/tex]
By definition, the sum of the internal angles of a triangle is 180 degrees.
So:
[tex]A2 + A3 + 90 = 180\\A2 = 180-90-A3\\A2 = 180-90-45\\A2 = 45[/tex]
Thus, angle 2 measures 45 degrees.
Answer:
45 degrees
