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RE: An Introduction to Plane Geometry -- Part 3

in #steemiteducation6 years ago
  1. ) Are two right angles supplementary? Why?
    Yes, because theyr sum is 90°+90°=180°

  2. ) How many right angles do we have? Why?
    We have 2: 90° and 270°. Because in both cases the lines are perpendicular between each other, creating a right angle.

  3. ) If ∠A and ∠B are congruent and complementary, what is the measure of ∠A? Why?
    45° because A+B=90° (complementary condition) and A=B (congruent condition)

  4. ) What is the measure of ∠C if it is a linear pair of 80°?
    10° because linear pairs are supplementary.

  5. ) If two angles are complementary but one angle is twice as large as its pair, what are the measures of these angles?
    30° and 60°. Complementary condition: A+B=90°; pair condition: B+2B=180°.

Keep spreading education! @lyxng

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I hope this one stays on the top of the comment section for reference. Great job, Engineer!

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