The lengths of the sides of a rectangle are 12.4 and 26. What are the measures of the angles between its diagonals? Round your answers to the nearest whole number.

129 and 51 degrees.

Step-by-step explanation:

Drawing a diagonal gives us a triangle with the opposite side = 12.4 and the adjacent side = 26.

tan x = 12.4 / 26

x = 25.497 degrees.

The other angle will be 90 - 25.497

= 64.503 degrees.

One of the diagonal angles is 180 - (2*25.497)

= 129 degrees

and the other is 180 - 129 = 51 degrees.