10) Given: \(\overset{\Large{\frown}}{LN}\cong\overset{\Large{\frown}}{ES}\), \(\overline{IE}\) divides major and minor
arcs into a ratio of \(m\overset{\Large{\frown}}{LN}:m\overset{\Large{\frown}}{NS} = 3:2\) and \(m\overset{\Large{\frown}}{LE}:m\overset{\Large{\frown}}{ES} = 7:6\). \(L\) and \(S\) are points of tangency. Find: \(m\angle LIN:m\angle NIS\) |
11) Given: \(\bigodot\)
\(\overline{FD}\) is a diameter \(m\overset{\Large{\frown}}{FA} = 50^{\circ}\) \(m\overset{\Large{\frown}}{DB} = 30^{\circ}\) \(m\overset{\Large{\frown}}{EF} = 70^{\circ}\) \(J\) is the midpoint of \(\overset{\Large{\frown}}{ED}\) \(\overleftrightarrow{WT}, \overleftrightarrow{YX}, \overleftrightarrow{WZ}\) are tangent lines |
\(m\angle 1 =\)________
\(m\angle 5 =\)________ \(m\angle 9 =\)________ \(m\angle 13 =\)________ \(m\angle 17 =\)________ |
\(m\angle 2 =\)________
\(m\angle 6 =\)________ \(m\angle 10 =\)________ \(m\angle 14 =\)________ \(m\angle 18 =\)________ |
\(m\angle 3 =\)________
\(m\angle 7 =\)________ \(m\angle 11 =\)________ \(m\angle 15 =\)________ \(m\angle 19 =\)________ |
\(m\angle 4 =\)________
\(m\angle 8 =\)________ \(m\angle 12 =\)________ \(m\angle 16 =\)________ \(m\angle 20 =\)________ |