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What are Supplementary Angles?

Definition: Supplementary angles

Summary

  1. We can turn the line LO into the straight angle LNO by adding a point N
  2. Straight angles measure 180°
  3. If we draw a ray from the point N it will split the straight angle into two smaller angles
  4. That means these two angles will add up to 180°
  5. If angle PNO measures 35° and LNP and PNO are supplementary, LNP must measure 145°

Notes

    1. We can turn a straight line into a straight angle by adding another point on it
    1. We know that angles LNP and PNO are supplementary
    2. So we know they must add up to 180°
    3. If we subtract 35° from 180°, we get 145°
    4. This is the measure of angle LNP!