In a parallelogram adjacent angles are supplementary, so angles are 75 degrees (A & C) and 105 degrees (B & D).
Yes, a quadrilateral ABCD can be a parallelogram if angle D plus angle B equals 180 degrees. In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (their sum equals 180 degrees). Therefore, if angle D and angle B are supplementary, it is consistent with the properties of a parallelogram. Thus, the condition does not contradict the definition of a parallelogram.
d. rectangle
A B . . D C . . Parallelogram ABCD.
A Parallelogram :D
To determine the measure of angle A that will make a quadrilateral a parallelogram, you need to ensure that opposite angles are equal. Therefore, if angle A is known, angle C (the opposite angle) must also be equal to angle A. Additionally, the sum of adjacent angles should equal 180 degrees; thus, if angle B is known, angle D must be 180 degrees minus angle B.
105
In a parallelogram adjacent angles are supplementary, so angles are 75 degrees (A & C) and 105 degrees (B & D).
In a parallelogram adjacent angles are supplementary, so angles are 75 degrees (A & C) and 105 degrees (B & D).
The measure of D is 120.
120
105 degrees
parallelogram
Yes, a quadrilateral ABCD can be a parallelogram if angle D plus angle B equals 180 degrees. In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (their sum equals 180 degrees). Therefore, if angle D and angle B are supplementary, it is consistent with the properties of a parallelogram. Thus, the condition does not contradict the definition of a parallelogram.
d. rectangle
A B . . D C . . Parallelogram ABCD.
216 is the angel of g
Without more information, we cannot determine the measure of d. The relationship between b and a does not provide any information about d.