Lesson 1 · Lines and Angles

Pairs of Angles

MathematicsSubject
14 minEstimated read
Activity 1.3

Verify the facts with a protractor

MethodDraw two lines crossing at any angle you like. Measure all four angles with a protractor and write them down. Add the four together. Then find the two pairs of vertically opposite angles and compare them. Repeat with a completely different crossing angle.
What you should findThe four always add to 360, and the two opposite pairs are always equal, no matter what crossing angle you chose. Measuring does not prove this, though. It only makes it believable. The proof is the two line argument in the Note tab, and that is what an exam wants.
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