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Geometry Worksheets - Page 3

Geometry Worksheets
  • Page 3
 21.  
Select the variuos conclusions from the figure.

a.
m AOC = 100, m BOD = mBOC = 80
b.
m BOD = m AOC = 80, m BOC = 100
c.
m AOC = 80, m BOD = m BOC = 100
d.
m AOC = m BOD = 100, mBOC = 80


Solution:

Two angles whose sides are opposite rays are called Vertical angles.

Vertical angles are equal. m BOC = mAOD = 100

Adjacent angles are supplementary. m BOD + mAOD = 180

m BOD = 180 - m AOD = 180 - 100 = 80

m BOD = m AOC = 80
[Vertical angles.]

m BOD = m AOC = 80, mBOC = 100


Correct answer : (2)

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