One of the angles formed when crossing two straight lines is four times larger than the other, find these angles.

From the condition, we know that one of the angles formed at the intersection of two straight lines is 4 times larger than the other.

So, let’s first of all remember what angles are formed when two straight lines intersect.

When straight lines intersect, vertical angles are formed – they are equal to each other. Adjacent corners are also formed.

In our problem, we are talking about adjacent corners. Their sum is 180 °.

One of the angles is x, then the second is 4x;

x + 4x = 180;

5x = 180;

x = 180: 5;

x = 36 ° is a smaller angle, then 36 * 4 = 144 ° is a larger angle.

Answer: 36 °; 144 °.



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