Find the sharp corners of the rectangle if one of them is 60 more than the other.

Let’s imagine that the largest angle is equal to the variable n.

Then, in accordance with the condition of the task, a smaller angle can be represented as n – 60.

As we know from the current school geometry course, the sum of such angles is 90 °, so it is possible to draw up an equation to find out which values each of these angles corresponds to:

n + n – 60 = 90;

2n = 150;

n = 75;

90 – 75 = 15.

Answer: Under these conditions, one angle will be 75 °, while the other will be 15 °.