If one of the angles formed by two intersecting lines is a right angle, what can you say about the other three angles?
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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. Answer: All the other angles should be at right angles
Answered by
1
Answer:
LetABandCDbe two lines Intersecting at O, such that,
∠AOD=
90
∘
Now,
∠AOD=
∠COB=
90
∘
(Vertically opposite angles)
⟹
∠AOD+
∠DOB=
180
o
(Angles on a straight line)
⟹
90+
∠DOB=
180
o
∠DOB=
90
∘
∠DOB=
∠AOC=
90
∘
(Vertically opposite angles)
Thus, all angles are
90
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