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Using Circles to Find Angle Measures

Find the angle measures:

Angles in a circle

If, in the figure above $m\angle{2}=25$ and $m\angle{1}=95$, what is:

  1. $m\angle{5}=\mathbf{25}$
  2. $m\angle{4}=\mathbf{95}$
  3. $m\angle{6}=\mathbf{60}$
  4. $m\angle{3}=\mathbf{60}$

If, in the figure above $m\angle{1}=100$ and $m\angle{6}=40$, what is:

  1. $m\angle{2}=\mathbf{40}$
  2. $m\angle{3}=\mathbf{40}$
  3. $m\angle{4}=\mathbf{100}$
  4. $m\angle{5}=\mathbf{40}$

If, in the figure above $m\angle{3}=90$, what is:

  1. $m\angle{6}=\mathbf{90}$
  2. $m\angle{2}+ m\angle{4}=\mathbf{90} $
  3. $m\angle{1}+ m\angle{5}=\mathbf{90} $
  4. $m\angle{2}+ m\angle{4} + m\angle{6}=\mathbf{180} $