Two lines intersect. Moreover, one of the corners is 5 times larger than the other. Find all the corners.

Here you also need to find adjacent corners.

Since one of them is five times larger than the second, and the sum is equal to 180º, then:

x is the value of the angle ∠1;

5x – the value of the angle ∠2;

x + 5x = 180;

6x = 180;

x = 180/6 = 30;

∠1 = 30º;

∠2 = 30º · 5 = 150º.

Answer: ∠1 = ∠3 = 30º, ∠2 = ∠4 = 150º.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.