Please solve question no 10 with proper explanation 

Asked by adityaahuja099 | 20th Nov, 2017, 07:57: PM

Expert Answer:

 
begin mathsize 16px style Arc space BC space makes space angle BOC equals straight z space at space the space centre space and space angle BAC equals straight x space on space circumference
rightwards double arrow straight z equals 2 straight x
straight i right parenthesis space In space triangle OBC comma
angle OBC plus angle OCB plus angle BOC equals 180 degree
rightwards double arrow straight y plus straight y plus straight z equals 180 degree
rightwards double arrow 2 straight y plus straight z equals 180 degree
rightwards double arrow 2 straight y plus 2 straight x equals 180 degree
rightwards double arrow straight x plus straight y equals 90 degree
rightwards double arrow angle BAC plus angle OBC equals 90 degree

ii right parenthesis space In space triangle OBC comma
angle OBC plus angle OCB plus angle BOC equals 180 degree
rightwards double arrow straight y plus straight y plus straight t equals 180 degree
rightwards double arrow straight t equals 180 degree minus 2 straight y
Now comma space straight z equals 360 degree minus straight t
rightwards double arrow straight z equals 360 degree minus left parenthesis 180 degree minus 2 straight y right parenthesis
rightwards double arrow 2 straight x equals 180 degree plus 2 straight y
rightwards double arrow 2 straight x minus 2 straight y equals 180 degree
rightwards double arrow straight x minus straight y equals 90 degree
rightwards double arrow angle BAC minus angle OBC equals 90 degree



end style

Answered by Rashmi Khot | 30th Nov, 2017, 10:05: AM