Please solve question no 6 with proper explanation 

Asked by adityaahuja099 | 30th Nov, 2017, 08:30: PM

Expert Answer:

begin mathsize 16px style ABCD space is space straight a space cyclic space quadrilateral.
rightwards double arrow angle straight A plus angle straight C equals 180 degree space and space angle straight B plus angle straight D equals 180 degree space space
left parenthesis opposite space angles space of space cyclic space quadrilateral space are space supplementary right parenthesis
Now comma space angle straight D equals 55 degree space space left parenthesis given right parenthesis
rightwards double arrow angle straight B equals 180 degree minus 55 degree equals 125 degree
In space quadrilateral space ABCE comma
angle straight A plus angle straight B plus angle straight C plus angle straight E equals 360 degree
rightwards double arrow angle straight A plus angle straight C plus 125 degree plus 90 degree equals 360 degree space space space space left parenthesis AD space is space straight a space diameter right parenthesis
rightwards double arrow angle straight A plus angle straight C equals 145 degree
angle DAE plus angle DCE equals angle BAD plus angle BCD minus left parenthesis angle BAE plus angle BCE right parenthesis equals 180 degree minus 145 degree equals 35 degree end style

Answered by Rashmi Khot | 1st Dec, 2017, 09:26: AM