What is the relationship between the angles formed when two lines intersect? (2022)

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Q: What is the relationship between the angles formed when two lines intersect? (2022)

Solution: When two lines intersect, the angles formed are supplementary, meaning they add up to 180 degrees.

Steps: 6

Step 1: Understand that when two lines cross each other, they create four angles.
Step 2: Identify the angles formed at the intersection. Let's label them as Angle 1, Angle 2, Angle 3, and Angle 4.
Step 3: Notice that Angle 1 and Angle 2 are next to each other. They are called 'adjacent angles.'
Step 4: Realize that adjacent angles formed by intersecting lines add up to 180 degrees. This means Angle 1 + Angle 2 = 180 degrees.
Step 5: Do the same for Angle 3 and Angle 4. They are also adjacent and add up to 180 degrees: Angle 3 + Angle 4 = 180 degrees.
Step 6: Conclude that all pairs of adjacent angles formed by the intersection of two lines are supplementary, meaning they add up to 180 degrees.