The sum of the two angles formed at the intersection of two straight lines is 140 degrees
| August 6, 2021 | education
The sum of the two angles formed at the intersection of two straight lines is 140 degrees, prove that these angles are vertical.
When two straight lines intersect, four corners 1, 2, 3, 4 are formed, of which angles 1 and 2 are adjacent, 2 and 3 are adjacent, 3 and 4 are adjacent, 4 and 1 are adjacent. Corners 1 and 3, 2 and 4 are vertical. The sum of two adjacent angles is one hundred and eighty degrees, and the vertical angles are equal to each other. From the condition of the problem, it is known that the sum of two angles formed at the intersection of two straight lines is equal to one hundred and forty degrees. This means that these angles are vertical, that is, the degree measure of each angle is 140/2 = 70 degrees.
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