if one of the angle formed by two intersecting lines is a right angle right angle what can you say about the other three angles give the reason of for your answer
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Hey ❤️
If one of the angle formed by two interesting lines is a right angle then another three angles must be 90°.
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Answer:
Explanation:
For better understanding of the solution, see the attached figure :
Let m∠AOC be 90°
⇒ m∠AOC = m∠BOD (Vertically Opposite angles are equal)
⇒ m∠BOD = 90°
Now, m∠AOB = 180° (Linear Pair is supplementary)
⇒ m∠AOC + m∠BOC = 180°
⇒ m∠BOC = 180° - 90°
⇒ m∠BOC = 90°
And, m∠BOC = m∠AOD (Vertically opposite angles are equal)
⇒ m∠AOD = 90°
Hence, m∠AOC = m∠BOC = m∠AOD = m∠BOD = 90°
Hence Proved.
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