AB and CD are straight line segments. ∠ AOE = 68° and ∠ DOB = 95°.
Find the values of the following angles giving a reason for each answer in the comment box.
The diagram is not drawn accurately.
i) obtuse ∠ AOC
ii) acute ∠ BOC
iii) acute ∠ DOE

Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles.

Reason:- Angle AOC + Angle BOC - 180° (they lie in a straight line so they are a linear pair. Sum of the angles will be 180°)

Angle AOC is 95°, So:-

95° + Angle BOC = 180°

Angle BOC= 180° - 95°

Reason:- Angle AOE+ Angle DOE+ Angle DOB = 180° (they lie in a straight line so they're a linear pair. Sum of the angles will be 180°)

So,

68° + Angle DOE+ 95° = 180°

163° + Angle DOE = 180°

Angle DOE= 180° - 163°

it is a reproduction.

step-by-step explanation:

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