The sum of two opposite angles of a parallelogram is 130 degree.
Extremely sorry I dint post the full question-
find the measure of each of its angle
65, 65, 115, 115
To find the measure of each angle, we first need to know that opposite angles in a parallelogram are congruent (meaning they have the same measure).
Step 1: Let's assume one of the opposite angles is x.
Step 2: Since the sum of the opposite angles is given as 130 degrees, the other opposite angle would also be 130 degrees.
Step 3: We can set up an equation: x + 130 = 180 (since the sum of interior angles of any quadrilateral is 360 degrees, and opposite angles in a parallelogram are congruent).
Step 4: Now, subtract 130 from both sides of the equation: x = 180 - 130 = 50.
Therefore, each opposite angle of the parallelogram measures 50 degrees.