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RE: An Introduction to Plane Geometry -- Part 3
) Are two right angles supplementary? Why?
Yes, because theyr sum is 90°+90°=180°) 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.) 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)) What is the measure of ∠C if it is a linear pair of 80°?
10° because linear pairs are supplementary.) 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
I hope this one stays on the top of the comment section for reference. Great job, Engineer!