There are 180 degrees in a triangle, that means the sum of the three angles equals 180
so we'll call them angle1, angle2, and angle3
then our formula is
angle1 + angle1 + angle3 = 180
So we see that we have a triangle with two angles of 46 degrees, then we plug those into our equation
46 + 46 + angle3 = 180
92 + angle3 = 180
subtract 92 from each side
angle3 = 88
Now, we see that the other side of our 46 degree triangle is 88, so our three angles are 46, 46, and 88.
Compare that to the first triangle, which has one angle of 84. In order to be similar, the angles will have to match, but there is no angle 84 in the second triangle, the closest is 88, but close doesn't matter, the fact is that they are not the same. So these triangles are not similar.
What if triangle1 has an angle of: 92
And triangle2 has angles of: 44 and 44
Are these similar?
edit: assume both triangles are isosceles