The sum of two opposite angles of a parallelogram is 130°. What is...
Here ABCD is a parallelogram and ∠A + ∠C = 130°

∠B = ∠D = 115°
Difference = 115° - 65° = 50°
View all questions of this testThe sum of two opposite angles of a parallelogram is 130°. What is...
Let's call the two opposite angles of the parallelogram A and B. Since opposite angles of a parallelogram are congruent, we know that A = B. The sum of these two angles is 130, so we can set up the equation A + B = 130. Since A = B, we can substitute A for B in the equation, giving us A + A = 130. Simplifying this equation, we have 2A = 130. Dividing both sides of the equation by 2, we find that A = 65. Since A = B, we know that B = 65 as well. Therefore, the measure of each of the two opposite angles of the parallelogram is 65 degrees.