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in figure angle 1=angle 2 ,angle2=angle 3,show that angle 1=angle 3
Verified Answer
in figure angle 1=angle 2 ,angle2=angle 3,show that angle 1=angle 3
Since angle1=angle2 and ang.2=ang.=3
Therefore ang.1=ang.3
Axiom- things which are equal to the same thing are equal to one another.
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Most Upvoted Answer
in figure angle 1=angle 2 ,angle2=angle 3,show that angle 1=angle 3
Explanation:
Given:
Angle 1 = Angle 2
Angle 2 = Angle 3
To prove:
Angle 1 = Angle 3
Proof:
Let's assume that angle 1 and angle 2 are equal.
1. Angle 1 = Angle 2
This assumption is given in the problem.
2. Angle 2 = Angle 3
This assumption is also given in the problem.
Now, we need to show that angle 1 is equal to angle 3.
3. Angle 1 = Angle 3
To prove this, we can use the Transitive Property of Equality.
The Transitive Property states that if a = b and b = c, then a = c.
In this case, we have:
Angle 1 = Angle 2 (from step 1)
Angle 2 = Angle 3 (from step 2)
Using the Transitive Property, we can conclude that:
Angle 1 = Angle 3
Therefore, we have proven that angle 1 is equal to angle 3.
Conclusion:
From the given information, we can conclude that if angle 1 is equal to angle 2 and angle 2 is equal to angle 3, then angle 1 is also equal to angle 3. This conclusion is based on the Transitive Property of Equality.
Given:
Angle 1 = Angle 2
Angle 2 = Angle 3
To prove:
Angle 1 = Angle 3
Proof:
Let's assume that angle 1 and angle 2 are equal.
1. Angle 1 = Angle 2
This assumption is given in the problem.
2. Angle 2 = Angle 3
This assumption is also given in the problem.
Now, we need to show that angle 1 is equal to angle 3.
3. Angle 1 = Angle 3
To prove this, we can use the Transitive Property of Equality.
The Transitive Property states that if a = b and b = c, then a = c.
In this case, we have:
Angle 1 = Angle 2 (from step 1)
Angle 2 = Angle 3 (from step 2)
Using the Transitive Property, we can conclude that:
Angle 1 = Angle 3
Therefore, we have proven that angle 1 is equal to angle 3.
Conclusion:
From the given information, we can conclude that if angle 1 is equal to angle 2 and angle 2 is equal to angle 3, then angle 1 is also equal to angle 3. This conclusion is based on the Transitive Property of Equality.
Community Answer
in figure angle 1=angle 2 ,angle2=angle 3,show that angle 1=angle 3
Where's the figure ???
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in figure angle 1=angle 2 ,angle2=angle 3,show that angle 1=angle 3
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