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melamori03 [73]
3 years ago
12

AB and CD are straight line segments.

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

Answer:

<h3>i) Angle AOC is 95° </h3><h3>Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles. </h3>

<h3> ii) Angle BOC is 85° </h3><h3>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°) </h3><h3> Angle AOC is 95°, So:- </h3><h3> 95° + Angle BOC = 180° </h3><h3> Angle BOC= 180° - 95° </h3><h3> Angle BOC = 85° </h3><h3> </h3><h3>iii) Angle DOE is 17° </h3><h3>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°) </h3><h3> So, </h3><h3> 68° + Angle DOE+ 95° = 180° </h3><h3> 163° + Angle DOE = 180° </h3><h3> Angle DOE= 180° - 163° </h3><h3> Angle DOE is 17°</h3>
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