A quadrilateral that could have a 45-degree vertex angle is a kite. In a kite, the two pairs of adjacent sides are congruent, and one pair of opposite angles is congruent. Therefore, if one of the angles is 45 degrees, the opposite angle would also be 45 degrees. This makes a kite one of the quadrilaterals that could have a 45-degree vertex angle.
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A rhombus, trapezoid or parallelogram could all contain a 45 degree vertex. Squares and rectangles only have 90 degree vertices.
an isosceles triangle can have any vertex angle less than 180 and greater than 0, as long the other two angles are equal. an isosceles triangle with a vertex of 179 degrees would just have the other two angles be 0.5 degrees. A right triangle with matching angles (both 45 degrees) would be both a right triangle and isosceles triangle.
If it's a right angle, it could be 90 or 45 degrees. If it equilateral then it's 60 degrees.
45 degree angle
45 degrees. 45 degrees
An acute angle