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Find the missing angles in the Parallelogram

Find the missing angles in the Parallelogram-example-1
Find the missing angles in the Parallelogram-example-1
Find the missing angles in the Parallelogram-example-2
User Dikkini
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1 Answer

4 votes

Step-by-step explanation:

On the first pass, you know ...

  • g = 80° . . . vertical angles
  • I = 110° . . . vertical angles
  • m = 20° . . . alternate interior angles (WX║ZY)

Then on the second pass, you can figure ...

  • f = h = 180° -80° = 100° . . . linear angles
  • j = k = 180° -110° = 70° . . . linear angles
  • b = n = 180° -110° -m = 50° . . . sum of angles of a triangle

And the remaining angles can be determined using external angle and sum-of-angle relationships.

  • a = o = h -70° = 30°
  • c = 80° -b = 30°
  • d = 360° -80° -20° -I = 150°
  • L = c - m = 10° . . . c and L+m are alternate interior angles
  • e = L +70° or 110° - o = 80°
User David Boskovic
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