Two complementary angles measure (2x+14) and (x+20) degrees. What is the value of x?

18.67 degrees

Step-by-step explanation:

(2x+14) and (x+20) degrees add up to 90 degrees if the two angles are complementary.

Thus, 2x + 14 + x + 20 = 90, and so 3x + 34 = 90.

Solving for x, we get, first, 3x = 56. and second, x = 18.67 degrees.