![]() In parallelogram ABCD, if angle A is 80 degrees, then angle C is also 80 degrees. ![]() By the converse of co-interior angles theorem, AD BC and AB is. Here, A and B are co-interior angles and their sum is 180. Since angle A is given as 80 degrees, angle C must also be 80 degrees by the properties of parallelograms. In a parallelogram, the adjacent sides and angles are not equal and no sides are perpendicular to other. In the parallelogram ABCD, angle A and angle C are opposite angles. Therefore, angle A and angle C are congruent. By definition of a parallelogram, opposite angles are congruent.ģ. s and t is just a variable to represent the length in x-axis and y-axis of segment DC. (Remember length in the segment is length between two-point. Then we got the length s is 6 and the length t is 0. Given sides of parallelogram A ( 2, 1), B (a, 0), C (4, b), D (1, 2) We know that diagonals of Parallelogram bisect each other. X-axis of point D to C -1.5 + s 4.5 and y-axis of point D to C 4+t4. Therefore, if angle A is 80 degrees, angle C is also 80 degrees.Ģ. First, calculate the length of segment DC. ![]() Since ABCD is a parallelogram, we know that angle A and angle C are opposite angles, meaning they are congruent. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Consecutive angles of a parallelogram are supplementary (add up to 180 degrees). Opposite angles of a parallelogram are congruent.Ĥ. Opposite sides of a parallelogram are congruent.ģ. Opposite sides of a parallelogram are parallel.Ģ. You can use these and other theorems in this lesson to prove that a quadrilateral with certain properties is a parallelogram. To find the measure of angle C in parallelogram ABCD, we can use the properties of parallelograms and the fact that opposite angles in a parallelogram are congruent.ġ.
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