360
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.
Each interior angle measures 135 degrees
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Each interior angle measures 1710 25' 42.86''
A parallelogram has four sides. All four sided figures have a sum of the interior angle measures equal to 360°.
The 4 interior angles of a parallelogram add up to 360 degrees
The 4 interior angles of a parallelogram add up to 360 degrees
105 degrees
The 4 interior angles of a parallelogram add up to 360 degrees
A parallelogram has 4 interior angles that add up to 360 degrees.
The 4 interior angles of a parallelogram add up to 360 degrees
The measure of the exterior angle.
It is: 180-exterior angle = interior angle
Opposite angles of a parallelogram are equal, and adjacent angles are supplementary. Let one angle be θ, then the adjacent angle is 4θ + 50° → θ + 4θ + 50° = 180° → 5θ = 130° → θ = 26° → The two adjacent angles are 26° and 154°. → The angles of the parallelogram are 26°, 154°, 26°, 154°.
In a parallelogram adjacent angles are supplementary, so angles are 75 degrees (A & C) and 105 degrees (B & D).
360