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3 years ago

AB and CD are straight line segments.

Mathematics

1 answer:

frutty [35]3 years ago

5 0

Answer:

<h2>i) Angle AOC is 95° </h2>

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

<h2>ii) Angle BOC is 85°</h2>

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°

<h3><u>Angle BOC = 85°</u></h3>

<u></u>

<h2>iii) Angle DOE is 17°</h2>

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°

<h3><u>Angle DOE is 17°</u></h3>

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Consider the below figure attached with this question.

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