plz solve

Asked by lovemaan5500 | 20th Dec, 2017, 07:08: AM

Expert Answer:

begin mathsize 16px style In space cyclic space quadrilateral space ABCE
angle ABC plus angle AEC equals 180 degree space space space space space space space space space space space space space space Opposite space angles
132 degree plus angle AEC equals 180 degree space space space
angle AEC equals 48 degree
Join space BE.
BE space is space straight a space diameter.
In space increment BAE comma
angle BAE equals 90 degree space space space space space space space space space space space space space space space space space space space space space space space space space space space space space
angle BAE plus angle ABE plus angle AEB equals 180 degree
angle ABE equals fraction numerator angle ABC over denominator 2 end fraction equals 66 degree
90 degree plus 66 degree plus angle AEB equals 180 degree
angle AEB equals 24 degree

AB equals BC equals CD
angle AEB equals angle BEC equals angle CED equals 24 degree space space space space space space Inscribed space angle space in space equal space chords
angle AED equals angle AEB plus angle BEC plus angle CED
angle AED equals 24 degree plus 24 degree plus 24 degree
angle AED equals 72 degree

angle CED equals 24 degree
fraction numerator Arc space CD over denominator 2 end fraction equals angle CED space space space space space space space space space space space space space space space space space space space space space space space space space Inscribed space angle
Arc space CD equals 2 cross times 24 degree
Arc space CD equals 48 degree
Arc space CD equals angle COD equals 48 degree

space space space space space end style

Answered by Sneha shidid | 20th Dec, 2017, 09:33: AM