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How do you find the exterior angle from a interior angle?
The interior angle and the exterior angle are supplementary. That's why you learned about supplementary angles ... or at least they were presented in class ... before polygons.
Is a quadrilateral with at least one right angle and congruent diagonals a rectangle?
Yes
What is the generalization for a obtuse triangle quadrilateral and pentagon?
Not sure what the question means. A triangle or quadrilateral may but need not contain an obtuse angle. A pentagon or any polygon with more sides must contain at least one obtuse angle.
Does a kite have an obtuse angle?
Yes, a kite typically has at least one obtuse angle. A kite is a quadrilateral with two distinct pairs of consecutive, congruent sides. In a kite, the angles between the non-congruent sides (the angles opposite the longer and shorter sides) are usually not congruent. One of these angles can be obtuse, depending on the specific shape of the kite. However, it's important to note that a kite can also have acute angles, but it must have at least one obtuse angle.
Can you have a quadrilateral with three acute angles?
Yes you can, as long as the four angles (obviously three of which will be less than 90 degrees) end up with a sum of 360 degrees, meaning there will have to be at least one obtuse angle in a non-square quadrilateral.
