If two lines intersect, what is the sum of the angles formed at the intersection

If two lines intersect, what is the sum of the angles formed at the intersection? (2021)

If two lines intersect, what is the sum of the angles formed at the intersection? (2021)

Step 1: Understand that when two lines intersect, they cross each other at a point.
Step 2: Recognize that this intersection creates four angles around that point.
Step 3: Identify that these four angles can be grouped into two pairs of vertically opposite angles.
Step 4: Know that vertically opposite angles are equal, meaning each pair has the same measure.
Step 5: Remember that the total sum of all angles around a point is 360 degrees.
Step 6: Since there are two pairs of equal angles, we can say that the sum of the angles in one pair is 180 degrees.
Step 7: Conclude that the sum of the angles formed at the intersection of the two lines is 180 degrees.

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