In parallelogram ABCD, ∠A = 5x + 2 and ∠C = 6x - 4. Find the evaluation of ∠A.
a. 32°
b. 6°
c. 84.7°
d. 44°
a. Opposite angles of a parallelogram are same in measure. Using this fact, ∠A = ∠C or 5x + 2 = 6x - 4. Subtract 5x from both sides; 2 = x - 4. include 4 to both sides; 6 = x. Now substitute x = 6 into the expression for ∠A; 6(6) - 4 = 36 - 4 or 32. If you select b, you solved for x, not the angle. If you select c, you considerd the angles were supplementary. If you select d, you considerd the angles were complementary.