Because they are obtuse angles!
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Only if you add them it is possible but not by themselves
they can be obtuse say ther are two lines intersecting two of the angles are acute (50degrees) that means the other pair must be obtuse 180-50=130 so the other two angles are obtuse with a measurement of 130degrees
They make a pair of acute angles and a pair of obtuse angles. In rotational order, the angles are acute, obtuse, acute, obtuse.
No, a trapezoid does not have four obtuse angles. A trapezoid has one pair of parallel sides and the other pair of non-parallel sides. The angles of a trapezoid can be a combination of acute, obtuse, and right angles, but it cannot have four obtuse angles.
No, a trapezoid cannot have two obtuse angles. By definition, a trapezoid has exactly one pair of parallel sides. If it had two obtuse angles, it would imply that both pairs of opposite angles are obtuse, which is not possible as one pair of opposite angles must be acute in a trapezoid.