Question

in the figure , if AOC + BOD = 242°, FIND ALL THE FOUR ANGLES.​

Answer 1

AOC = 121°

BOC=59°

BOD=121°

DOA=59°

Answer 2

Answer:

AOC=121°

BOD=121°

AOD=59°

BOC=59°

Step-by-step explanation:

AOC+BOD =242°

AOC+BOD+AOD+BOC=360° (Angle sum property)

240° AOD+BOC=360°

AOD+BOC=360°-242°

AOD+BOC=118°

AOD=BOC ( Vertically opposite angle)

1/2 AOD=118°

AOD=118/2

AOD=59°

AOD =BOC (V.O.A)

59°=BOC

AOC+BOD=242°

1/2 AOC=242°

AOC=242/2

AOC=121°

AOC=BOD (V.O.A)

121°=BOD