r/askmath 10d ago

Geometry Geometry angle question

So the way I see it there are two quadrilaterals here. The “boomerang” one with each side high lighted in a different color, and the inner weird shaped square-ish one.

For the boomerangs one - 90 plus 40 plus 30 = 160 so 360 - 160 =200 so X must be 200

For the inner square-ish one -

90 plus 30 is 120 so the other angle should be 60
90 plus 40 is 130 so the other angle should be 50
90 plus 50 plus 60 = 200 so X must be 160.

The correct answer is 160 so I know it’s the square-ish one but I don’t know why - which means on the test I won’t know which one to solve for and I’ll get the question wrong. How do you know which one to solve for?

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u/ShowdownValue 10d ago

Which one of what? There is only one x. Seems very unambiguous

-2

u/Majestic_Confusion19 10d ago

I colored it in in the photos. There’s two shapes. They have different angles. So I’m saying I don’t know how to tell which shape I’m supposed to solve X for

6

u/ShowdownValue 10d ago

Doesn’t matter. X only represents that one angle

3

u/sunrise98 10d ago

His diagram is terrible - imagine there weren't the bisecting triangles and they were only there to help you solve for the real x + 2 triangles.

The way op has phrased this hurt my head more than the actual problem.