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Chapter 12: Q25. (page 690)

When two lines intersect at one point, how many pairs of vertical angles are formed? Explain your answer.

Short Answer

Expert verified

Two pairs of vertical angles are formed.

Step by step solution

01

Step 1. Given Information.

Two lines intersect at one point.

02

Step 2. Explanation.

Two angles are called a pair of vertically opposite angles, if their arm forms two pairs of opposite rays. For example, let two lines AB and CD intersect at O, then 鈭�AODand鈭�COB form a pair of vertically opposite angles and 鈭�AOCand鈭�BOD form another pair of vertically opposite angles.

03

Step 3. Conclusion.

When two lines intersect at one point, two pairs of vertically opposite angles are formed.

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Solve the equation by first clearing the fractions.

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Extended Problem Solving: In the bicycle frame shown, 鈭�1is called the head angle, and 鈭�2 is called the seat angle. Lines mand nare parallel.

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