Question

Prove it : if to intersect each other then the vertically opposite angles are equal
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Answer 1

Step-by-step explanation:

If two lines intersect each other, then the vertically opposite angles are equal. Theorem 6.1 : If two lines intersect each other, then the vertically opposite angles are equal. In the statement above, it is given that 'two lines intersect each other'. So, let AB and CD be two lines intersecting at O .

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Answer 2

Statement,

• Prove it : if to intersect each other then the vertically opposite angles are equal

Given,

• The lines AB and DC intersect at the point o

To prove,

• ${\angle}$AOC = ${\angle}$AOD

• ${\angle}$AOD = ${\angle}$DOB

Proof,

• ${\angle}$AOC + ${\angle}$AOD = 180

• ${\angle}$AOD + ${\angle}$DOB = 180

• =${\angle}$AOC + ${\angle}$AOD${\cancel}$ = ${\angle}$AOD${\cancel}$ + ${\angle}$DOB

• = ${\angle}$AOC = ${\angle}$DOB

Similarly

• ${\angle}$AOD = ${\angle}$BOC

Hence proved