One of the angles formed when crossing two straight lines is four times larger than the other, find these angles.
April 10, 2021 | education
| 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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