How Do You Go About Justifying The Same Angle Value For These 2 Triangles

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In the image I attached below, I am given that the angle theta is in both triangle 1 and triangle 2. I end up trying to rotate triangle 1 to look like triangle 2 and then justify that the location of the angle means the angle is the same for both triangles. Is there a better explanation to compare the angles of two different triangles than this?

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