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  • If one of the angles formed by two intersecting lines is a right angle, what can you say about the other three angles? Give reason for your answer.

If one of the angles formed by two intersecting lines is a right angle, what can you say about the other three angles? Give reason for your answer.

Answers (1)

Answer: All the other angles should be at right angles.

Solution.

Let AB and CD be two intersecting lines which intersect at point O

If one of the angle is formed by two intersecting line is a right angle,
\text{Then let} \angle AOD=90^{\circ}
 \angle AOD=\angle BOC=90^{\circ} \text{(vertically opposite angles)}
 \angle AOD,\angle BOD \text{form linear pair}

 \angle AOD+\angle BOD=180^{\circ}
\text{Hence,} \angle BOD=90^{\circ}
 \angle BOD=\angle AOC=90^{\circ}\text{ (vertically opposite angles)}

Hence all the other angles should be at right angles.

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infoexpert26

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