Is it always true, sometimes true, or never true that a regular quadrilateral have 2 or more obtuse exterior angles?
I can construct a quadrilateral with interior angles of 91,91,91, and 87
giving me one obtuse exterior angle.
I can construct a quadrilateral with interior angles of 89,89,89, and 93
giving me three obtuse exterior angles.
What do you think?
I see that it would be always true if I understand correctly
but ...
I gave you an example where there was only ONE obtuse exterior angle.
we have problem it'sa regular quadilateral example given by u is not correct
To determine whether it is always true, sometimes true, or never true that a regular quadrilateral has 2 or more obtuse exterior angles, let's first clarify some terms.
- A regular quadrilateral is a quadrilateral with all sides of equal length and all angles of equal measure.
- An exterior angle of a polygon is an angle formed by a side of the polygon and the extension of an adjacent side.
Now, for a regular quadrilateral, which is a square, all angles are 90 degrees. Since all angles are right angles, none of the exterior angles can be obtuse. Therefore, it is never true that a regular quadrilateral has 2 or more obtuse exterior angles.
To arrive at this conclusion, we examined the definition and properties of a regular quadrilateral.