@mcfate @sjvn Professional math tutor here.
If this is a Geometry class problem, the only thing you're supposed to assume is A) we're working in a flat plane (Euclidian) and B) the bottom line is straight.
So you need to figure out the interior angle of the left triangle is 80°, then the supplementary angle of 100°, then the remaining interior angle of the next triangle is 45°, and finally the supplementary exterior angle there is 135°.
Yes, this is one of those "trap" problems.
This particular problem is just a symptom of a bigger problem, that of people being functionally innumerate, and happy that way, because their belief they "just can't get math", guided by problems like this particular one.
What I object to is people using the existence of the issue to justify the existence of the issue.
@TBBW1 @sjvn
And "trap problems" suck rocks because they make people feel "too stupid to do math" and that "math sucks" and that they "hate math".
Good work, if you're not interested in repeat business when it comes to tutoring.
It honestly shocks me how many people are supportive of this completely worthless approach to math instruction.
But hey, go ahead, teach people that math is about tricks and traps, and that the teacher is hoping to make you look dumb.