angles are real even if you can't see them. i know that god has a guardian angle for me Ninety degrees equals a right angle. An obtuse angle is any angle between Ninety one degrees and one hundred and eighty degrees. So yes angles are real.
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real life example of exterior angles
Right angles are used in architecture. All buildings are essentially based off of right angles (from the ground to a wall).
You can use straight angles to make sure countertops, or walls are straight and in a right formation.
The hands of a watch at 4 or 5 o'clock.
like those of a rectangular window