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☺☺☺
By straight line theorem.
AOC + COD + DOB = 180°
3x - 5° + 55° + x + 20° = 180°
4x + 75° - 5° = 180°
4x + 70° = 180°
4x = 180° - 70°
4x = 110°
x = 110° / 4 = 27.5°
AOC = 3x - 5° = 3 x 27.5° - 5° = 82.5° - 5° = 77.5°
BOD = ( x + 20° ) = 27.5° + 20° = 47.5°
☺☺☺
By straight line theorem.
AOC + COD + DOB = 180°
3x - 5° + 55° + x + 20° = 180°
4x + 75° - 5° = 180°
4x + 70° = 180°
4x = 180° - 70°
4x = 110°
x = 110° / 4 = 27.5°
AOC = 3x - 5° = 3 x 27.5° - 5° = 82.5° - 5° = 77.5°
BOD = ( x + 20° ) = 27.5° + 20° = 47.5°
☺☺☺
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