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

add them

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.

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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