Answer:
no, they are not similar
the triangle above is an isosceles triangle, meaning two sides are equal which also means the two angles below are both 55 since one given angle is 55 the other is 55 as well
in the other triangle we are given a different angle, considering this angle is the third unknown angle in the other triangle we will use this to find out if the sum of this angle and the other two 55 degree angles will equal 180 degrees
(sum of interior angles in a triangle is 180)
55 + 55 + 65 = 180?
175 ≠ 180
175 degrees is not equal to 180 degrees so therefore they are not similar.