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Angle Sum Property of a Polygon

In Fig. 4.57,...

Question

In Fig. 4.57, AE is the bisector of the exterior ∠CAD meeting BC produced in E. If AB = 10 cm, AC = 6 cm and BC = 12 cm, find CE.

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Solution

It is given that is the bisector of the exterior

Meeting produced and, and

Since is the bisector of the exterior

So

Hence

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Similar questions

Q. In the given figure,

A E

is the bisector of the exterior

∠ C A D

B C

E

A B = 10 c m

A C = 6 c m

B C = 12 c m

C E

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$A E$ is the bisector of the exterior $∠ C A D$ meeting $B C$ produced in $E$ . If $A B = 10 c m$ , $A C = 6 c m$ and $B C = 12 c m$ , find $C E$ .

△ A B C, A E

is the external bisector of

∠ A

, meeting BC produced at

E

A B = 10 c m, A C = 6 c m

B C = 12 c m

C E

Q. AE is the bisector of exterior

∠ C A D

meeting BC produced in E. If AB = 10 cm, AC = 6 cm and CE = 18 cm, then find BC.

Q. In a parallelogram ABCD, AB = 10 cm, AD = 6 cm. The bisector of ∠A meets DC in E, AE and BC produced meet at F. Find te length CF.

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