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You need only 1 90 degree angle.

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Q: To make sure that a given parallelogram is a rectangle at least how many of its angles must measure 90?

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A parallelogram or a rectangle would fit the given description

A parallelogram with opposite parallel sides would fit the given description.

Parallelogram and a rectangle

A rectangle. Any quadrilaterial with two pairs of parallel sides is a parallelogram. And each side will be the same dimension as its opposite. It must be if there are two pairs of parallel sides. And if one interior angle is right, then all the interior angles are right angles. You may have a square, but it is only a special case of a rectangle, which you must have if your figure is constructed with the given constraints.

To find the angles of a parallelogram, you have to know at least one angle (although it could be an interior or an exterior angle). There are several facts about all parallelograms:the sum of the interior angles is 360˚ (true for all quadrilaterals)opposite angles are congruent (angles that are diagonal in parallelograms have the same measure)consecutive angles are supplementary (angles that are connected by a single side add up to 180˚)If you know any of the interior angles, you can use a combination of the above rules to find the rest. If all you know is an exterior angle, then use the fact that an interior angle and its exterior angle are supplementary (because they are a linear pair--they make a line) to find the measure of the interior angle; then use the rules given above.

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A rectangle has 4 interior angles each measuring 90 degrees

A rectangle would fit the given description

The description given fits that of a rectangle if not a square

The opposite angles are congruent and all add to 360 degrees

A rectangle is, by definition, a parallelogram with four equal angles, all of which equal 90 degrees. If you only know three angles in a rectangle, something is wrong. In order to find the area of a rectangle, you must know its height and length. The area is then found by multiplying these two values together.

yes, as long as 2 sides are parallel, its a parallelogram.

A parallelogram, or a trapezium, in which only one pair is.

All you have to remember for this question is that opposite angles in a parallelogram are equal. So if you want to find another angle which is 57, just look at the angle directly opposite.

all four angles of any rectangle each equal 90 degrees by definition

Any parallelogram can be inscribed in a circle if the parallelogram is sufficiently small, but only two of the "corners" (a corner is a vertex) of the parallelogram will lie on the circle. But any parallelogram with four right angles (a rectangle or a square) can be inscribed in a circle, and all four of the vertexes will lie on the circumference. So the only parallelogram that can be inscribed in a circle is a rectangle.You'll recall that a parallelogram is a quadrilateral with two pairs of parallel sides. If the interior angles of a parallelogram are right angles, that sets conditions for a special case of a parallelogram called a rectangle. If the sides of a given rectangle are the same length, that rectangle is now a special case of rectangle called a square. Any rectangle (including the special case of the square) can be inscribed inside a circle so all vertexes lie on the circle.If we're interested in a construction project, start by drawing a circle. Then pick any two points on the circle and connect them with a line segment. Next, draw a line segment from each of the original points across the circle, insuring that each line segment is at a right angle to that first line segment. Lastly, connect the two points on the circle where those last two line segments have interesected the circle. You'll find that in every case you try, you'll have constructed a rectangle. And if the line segments all end up the same length, your rectangle will be a square.

quadrilateral, square, parallelogram, rectangle, trapezoid, etc