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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:

  1. the sum of the interior angles is 360˚ (true for all quadrilaterals)
  2. opposite angles are congruent (angles that are diagonal in parallelograms have the same measure)
  3. 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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Q: How do you find angles of a parallelogram?
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Related questions

How do you find missing angle of a parallelogram?

Being a quadrilateral, the sum of all four angles is 360o.Opposite angles of a parallelogram are equal.Adjacent angles of a parallelogram are supplementary, that is add to 180o.Given one angle of a parallelogram, the other 3 angles can be calculated:the opposite angle is the same;the other two angles are the same as each other and are 180o - the_given_angle


Is parallelogram can have no congruent angles?

No. In a parallelogram, opposite angles are congruent.


How many right angles are in a parallelogram?

There are no right angles in a parallelogram. A parallelogram only has right angles if it is a rectangle, in which case it has exactly four.


The angel between two altitude of a parallelogram through a vertex of an obtuse angle of the parallelogram is 60 find all the angles of the parallelogram?

A parallelogram has 2 opposite equal acute angles and 2 opposite equal obtuse angles that add up to 360 degrees and so the angles are 60, 60 120 and 120 degrees.


Parallelogram consecutive angles conjecture?

The Parallelogram Consecutive Angles Conjecture states that the consecutive angles in a parallelogram are supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees. This property follows from the fact that opposite angles in a parallelogram are congruent.


Which parallelogram has no right angles?

Except for rectangles, no parallelogram has right angles.


What is the measurements of opposite angles in a parallelogram?

Opposite angles of a parallelogram are equal.


Does a parallelogram have angles that are congruent?

Yes, opposite angles of a parallelogram are congruent.


Are adjacent angles in a parallelogram are supplementary?

Adjacent angles in a parallelogram are supplementary.


How many equal angles does a parallelogram have?

a parallelogram has two pairs of equal angles


Does a parallelogram have 4 right angles?

no a parallelogram dosent have 4 right angles


Describe the relationships of the angles in a parallelogram?

The opposite angles in a parallelogram are defined to be equal.