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Homework Help: geometry

Posted by Max R on Tuesday, November 1, 2011 at 9:33pm.

Two angles <3 and <5 are supplementary to <4. If m<5 is 78 degrees, what is m<3? (A diagram is required, label the diagram)

• geometry - Steve, Wednesday, November 2, 2011 at 11:10am

  I take this to mean that each of <3 and <5 is supplementary to <4. So,
  
  m<3 + m<4 = 180
  m<5 + m<4 = 180
  In that case,
  78 + m<4 = 180
  m<4 = 102
  Now, knowing that, w can find m<3:
  
  m<4 + 102 = 180
  m<4 = 72
  
  This makes sense, since angles supplementary to a given angle are equal.
  

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