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A polygon with four or more sides can meet all of the requirements.

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Q: What is a figure that only has one set of parallel lines no perpendicular lines and at least one acute angle and the one obtuse angle?

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An line that is not perpindicular to the other line makes an acute or obtuse angle Oblique lines are not parallel or perpendicular which would be lines that form acute or obtuse angles at the point of intersection.

They make a pair of acute angles and a pair of obtuse angles. In rotational order, the angles are acute, obtuse, acute, obtuse.

A trapezoid has 4 sides, 2 acute and 2 obtuse angles, and only one pair of parallel sides

Trapezium!

They can but don't have to as long as they are intersecting it doesn't matter whatt type of angles they form. * * * * * NO! The fact that they are perpendicular means that they intersect at right angles. Not an acute angle, not an obtuse angle but a right angle. That is what perpendicular is.

Related questions

intersecting, parallel, acute, right ,obtuse, straight, perpendicular, reflex

An line that is not perpindicular to the other line makes an acute or obtuse angle Oblique lines are not parallel or perpendicular which would be lines that form acute or obtuse angles at the point of intersection.

Lines that are neither parallel nor perpendicular.

They make a pair of acute angles and a pair of obtuse angles. In rotational order, the angles are acute, obtuse, acute, obtuse.

They make a pair of acute angles and a pair of obtuse angles. In rotational order, the angles are acute, obtuse, acute, obtuse.

parallelogram

Angles are usually illustrated as two acute and two obtuse, but there can be two right, one acute and one obtuse. Angles cannot be parallel since that is a characteristic of lines, not angles!

It could be a trapezoid having 2 right angles, an obtuse angle and an acute angle

Vertical angles can be acute, right (if the intersecting lines forming them are perpendicular) or obtuse.

this figure has 2 obtuse angles and two acute angles. also the opposite sides are parallel.

It could be a trapezoid providing that the other two angles are acute and obtuse

Non-perpendicular intersecting lines.