The ratio of the angles of the rhombus is 1: 4. Calculate the angles of the rhombus.

Let X and Y be the corners of a rhombus and X <Y.
Let us write the condition of the problem in the form of an equation:
Y / X = 4
Y = 4 * X
The sum of the angles of any rhombus is 180 degrees. Let’s write it down as an equation:
X + Y = 180
Substitute Y from the first equation into the second:
X + 4 * X = 180
5 * X = 180
X = 180/5
X = 36
Find Y:
Y = 4 * 36 = 144

Answer: 36 and 144 degrees.