For which value of x is the figure a rhombus?
A. x = 20.5
B. x = 2.6
C. x = 15.19
D. x = 7

Answer:
D. x = 7
Step-by-step explanation:
The labeled angles are the acute angles of a right triangle, so they are complementary. Their measures add up to 90 deg.
8x + 7 + 3x + 6 = 90
11x + 13 = 90
11x = 77
x = 7