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

univerkov | July 25, 2021 | education

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.

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