Please solve question no. 14 with proper explanation 

Asked by adityaahuja099 | 13th Nov, 2017, 07:36: PM

Expert Answer:

begin mathsize 16px style angle straight A plus angle straight B plus angle straight C plus angle straight D equals 360 degree..... left parenthesis straight i right parenthesis
In space increment AOB
angle AOB plus fraction numerator angle straight A over denominator 2 end fraction plus fraction numerator angle straight B over denominator 2 end fraction equals 180 degree space space space space space space space space Sum space of space the space angles space in space straight a space increment
2 angle AOB plus angle straight A plus angle straight B equals 360 degree
angle straight A plus angle straight B equals 360 degree minus 2 angle AOB..... left parenthesis ii right parenthesis
Substituting space left parenthesis ii right parenthesis space in space left parenthesis straight i right parenthesis
angle straight A plus angle straight B plus angle straight C plus angle straight D equals 360 degree
360 degree minus 2 angle AOB plus angle straight C plus angle straight D equals 360 degree
2 angle AOB equals angle straight C plus angle straight D
angle straight C plus angle straight D equals 2 angle AOB
Comparing space with space angle straight C plus angle straight D equals straight k angle AOB
We space get space straight k equals 2 end style

Answered by Sneha shidid | 28th Nov, 2017, 02:29: PM