What is the relationship between the angles formed when two lines intersect? (20

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

Options:

Correct Answer: They are supplementary

Exam Year: 2022

Solution:

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

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

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

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.

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