In Figure, the side B C of A B C is prod...

In Figure, the side `B C` of `A B C` is produced to form ray `B D` as shown. Ray `C E` is drawn parallel to `B A` . Show directly, without using the angle sum property of a triangle that `/_A C D=/_A+/_B` and deduced that `/_A+/_B+/_C=180^0dot`

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In a triangle A B C , if 2/_A=3/_B=6/_C , determine /_A ,/_B and /_C .

If ray O C stands on line A B such that /_A O C=/_C O B , then show that /_A O C=90^0

D is a point on the side BC of a triangle ABC such that /_A D C=/_B A C . Show that C A^2=C B.C D .

In Fig.9, if ray O C stands on line A B such that /_A O C=/_C O B , then show that /_A O C=90^0dot

The side B C of a A B C is produced on both sides. Show that the sum of the exterior angles so formed is greater than /_A by two right angles.

A ,B ,C are three angles of a triangle. If A-B=15^0,B-C=30^0, find /_A ,/_B and /_C

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In Figure, side B C\ of A B C is produced to point D such that bisectors of /_A B C\ a n d\ /_A C D meet at a point Edot If /_B A C=68^0, find /_B E C

In Figure, A B=A C\ a n d\ D B=D Cdot\ Prove that /_A B D=/_A C D

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