In the given figure, ∠1 and ∠2 are supplementary angles. If ∠1 is decreased, what changes should take place in ∠2 so that both the angles remain supplementary?
Solution:
We use the basic definition of supplementary angles to solve the problem given.
Let’s solve this problem visually. There are two operations done in sequence.
First, if one angle is decreasing then the other angle will increase but their sum will still remain the same, that is, 180°.
According to this model, the resultant sum of angle ∠1 and ∠2 will remain 180°.
Hence, if ∠1 is decreased by some degrees, then ∠2 will be increased by the same degrees, so both the angles will remain supplementary.
☛ Check: NCERT Solutions for Class 7 Maths Chapter 5
Video Solution:
In the given figure, ∠1 and ∠2 are supplementary angles. If ∠1 is decreased, what changes should take place in ∠2 so that both the angles remain supplementary?
NCERT Solutions for Class 7 Maths Chapter 5 Exercise 5.1 Question 6
Summary:
In the given figure, ∠1 and ∠2 are supplementary angles. If ∠1 is decreased by some degrees, then ∠2 will be increased by the same degrees, so both the angles will remain supplementary.
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