The question is attached.

Asked by dibroy12 | 11th Oct, 2018, 07:33: PM

Expert Answer:

begin mathsize 16px style To space prove colon space angle BDC thin space equals space 1 half angle BAC
In space triangle ABC comma space BC space is space extended space to space straight E.
angle ACE space equals space angle straight A space plus space angle straight B space.... left parenthesis Exterior space angle space property right parenthesis
1 half angle ACE space equals space 1 half angle straight A space plus 1 half space angle straight B
angle 1 space equals space 1 half angle straight A space plus 1 half space angle straight B space space space... left parenthesis straight i right parenthesis
In space triangle BDC comma space BC space is space extended space to space straight E.
angle 1 space equals space angle 3 space plus space angle straight D
angle 1 space equals space 1 half angle straight B space plus angle straight D space space space... left parenthesis ii right parenthesis
From left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis comma space we space get
angle straight D space equals space 1 half angle straight A
rightwards double arrow angle BDC space equals space 1 half angle BAC

end style

Answered by Yasmeen Khan | 12th Oct, 2018, 11:33: AM