Step-by-step explanation:
there are clearly some typos in the question.
so, to summarize what I understood :
the roof of each playhouse is an isoceles triangle, with the largest angle being 146°.
we need to find the other 2 angles.
"isoceles" means that both legs are equally long.
that means automatically that both side angles (bottom left and bottom right) are equally large too.
and now, this please burn into your brain forever :
the sum of all angles in a triangle (no matter what type) is always 180°.
so, if we call a side angle x, we have here
180 = 146 + x + x = 146 + 2x
34 = 2x
x = 17°
so, both missing angles are 17°.
a pretty flat triangle roof.