= 4. In the adjoining figure, ZBAC = 40°, ZCAD = 30° and ZDAE = 40°. Find the pairs of congruent angles from the following pairs. ZBAC and ZDAE a. b. ZBAD and ZCAE B 40° C. ZCAD and ZDAE 30° D 40° d. ZBAC and ZCAD A E
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The external bisector of an angle of a triangle divides the opposite side externally in the ratio of the sides containing the angle.
By exterior angle bisector theorem
CE
BE
=
AC
AB
CE
BC+CE
=
AC
AB
x
12+x
=
6
10
x
12+x
=
3
5
36+3x=5x
36=2x
x=18
Hence CE=18cm
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