No. A quadrilateral is a parallelogram when consecutiveangles are supplementary.
false
True
True
No, they are equal. Adjacent angles are supplementary in a prallelogram.
Supplementary
True
false
If every pair of consecutive angles of a quadrilateral is supplementary, it means that the sum of each pair of adjacent angles equals 180 degrees. This implies that the opposite angles are equal, as each pair of opposite angles can be expressed as the sum of two supplementary pairs. According to the properties of quadrilaterals, if the opposite angles are equal, the quadrilateral must indeed be a parallelogram. Therefore, the condition guarantees that the quadrilateral is a parallelogram.
Yes, it is true that if all pairs of consecutive angles of a quadrilateral are supplementary, then the quadrilateral is a parallelogram. This is because the property of supplementary consecutive angles implies that each pair of opposite angles are equal, which is a defining characteristic of parallelograms. Thus, the quadrilateral satisfies the conditions necessary to be classified as a parallelogram.
false
True
A parallelogram.
Then it's consecutive angles are supplementary.
False. If both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram.
True
No, they are equal. Adjacent angles are supplementary in a prallelogram.
False because it will have 2 equal opposite obtuse angles and 2 equal opposite acute angles with the 4 angles adding up to 360 degrees.