Question

AD, BE, and CF are all diameters of the circle. The measure of angle AOB is 40 degrees. The measure of angle DOF is 120 degrees.
Find the measures of these angles
BOC = ?
COD = ?

Answer 1

Answer:

o is a center so angle cof =180 angle cod +dof =180 so angle cod=60

Answer 2

Answer:

AOB=DOE (VERTICALLY OPPOSITE ANGLES)

DOF=DOE+EOF

or, 120=40+EOF

EOF=120-40

=80

EOF=BOC(VERTICALLY OPPOSITE ANGLES)

BOC=80

AOB+BOC+COD=180(LINEAR PAIR)

40+80+COD=180

COD=180-120

=60

ANSWERS:-

BOC=80 DEGREE

COD=60 DEGREE

hope you are satisfied with the answer :)