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What is a parallelogram with one interior angle equal to 90?
It is a square, a regular parallelogram with all right angles. The reason is that in a parallelogram, the adjacent angles are supplementary (equal 180 degrees).In any case, the opposite angle would be 90 degrees as well, leaving just 180 degrees for the other two identical opposite angles.
Are all angles of a parallelogram equal to 90 degrees?
No, only in a square (regular parallelogram).The opposite angles are EQUAL in a parallelogram, and the adjacent angles are SUPPLEMENTARY(they equal 180 degrees).So if any angle in a parallelogram is a right angle, they all are. Otherwise, there are no right angles.The angles of a parallelogram will average 90 degrees, as there are 360 degrees in any quadrilateral, (360/4 - 90) and 180 degrees in two adjacent non-equal angles (180/2 = 90).
The opposite angles of a quadrilateral inscribed in a circle are?
The opposite angles of a quadrilateral inscribed in a circle are supplementary, meaning they add up to 180 degrees. This is due to the property that the sum of the opposite angles of any quadrilateral inscribed in a circle is always 180 degrees. This property can be proven using properties of angles subtended by the same arc in a circle.
What is the proof to show that sum of either pair of opposite angles in a cyclic quadrilateral is 180 degrees?
Because the 4 interior angles of any quadrilateral add up to 360 degrees and a cyclic quadrilateral diagonals opposite angles add up to 180 degrees therefore it follows that the other pair must be 180 degrees
What are the angles in a parallelogram if the measure of one interior angle is 50 degrees more than 4 times the measure of another 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°.
What propertie does a quadrilateral have when it is a parallelogram?
Opposite sides are parallel. Opposite angles total 180 degrees.
What angles does a parallelogram have?
It has 2 opposite equal acute angles and 2 opposite equal obtuse angles and the 4 angles add up to 360 degrees.
What is a parallelogram with one interior angle equal to 90?
It is a square, a regular parallelogram with all right angles. The reason is that in a parallelogram, the adjacent angles are supplementary (equal 180 degrees).In any case, the opposite angle would be 90 degrees as well, leaving just 180 degrees for the other two identical opposite angles.
Are all angles of a parallelogram equal to 90 degrees?
No, only in a square (regular parallelogram).The opposite angles are EQUAL in a parallelogram, and the adjacent angles are SUPPLEMENTARY(they equal 180 degrees).So if any angle in a parallelogram is a right angle, they all are. Otherwise, there are no right angles.The angles of a parallelogram will average 90 degrees, as there are 360 degrees in any quadrilateral, (360/4 - 90) and 180 degrees in two adjacent non-equal angles (180/2 = 90).
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.
Do opposite angles in a parallelogram add up to 180?
No. Opposite angles are equal. Adjacent angles are supplementary.
How many degrees does a parallelogram have to add up to?
360 degrees. This complies with the rules of parallelograms. A parallelogram is a quadrilateral comprised of two sets of parallel lines. The opposite sides of a parallelogram are congruent, meaning that they have the same shape and size. The opposite angles are also congruent. Additionally, its consecutive angles are supplementary. This means that when when you add the two angles next to each other together, they will add up to 180 degrees, or a straight line. Since there are 4 corners in a parallelogram, and therefore 4 angles, you would have two sets of 180 degrees. Ergo, the angles in a parallelogram always add up to 360 degrees.
What angles does a parallogram have?
A parallelogram is a four-sided figure with opposite sides of equal length and angles not equal to 90 degrees (otherwise it would be a rectangle). Diagonally opposite angles will be equal, and adjacent angles will add up to 180 degrees.
What are the names of the angles in the parallelogram?
180 degrees i believe
The sum of the angles of a parallelogram is 180 true or false?
False, the sum of the angles in a parallelogram is 360 degrees.
One angle of a parallelogram measures 10 degrees. What are the measures of the other three angles in the parallelogram?
If one angle is 10 degrees, its opposite angle is also 10 degrees. Since consecutive angles are supplementary, each pair of angles has to add up to 180 degrees so the other angles have to be 170 degrees. Therefore this parallelogram has two 10 degree angles and two 170 degree angles.
Can a parallelogram always be inscribed in a circle?
No. For example, if one angle measures 100 degrees, and its adjacent angle is 80 degrees, then the opposite angles would be either 200 or 160 degrees, but in order for a quadrilateral to be inscribed in a circle the opposite angles would have to equal 180 degrees. A parallelogram can be inscribed in a circle if it is a rectangle.
