A proof of the Alternate Interior Angles Theorem, using parallel lines a and b with transversal m, is shown below.
2 answers:
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Given:
4:x::x:16
To find:
The value of x.
Solution:
We have,
4:x::x:16
It means, we have
4:x = x:16
It can be rewritten as
On cross multiplication, we get
Taking square root on both sides.
Since ratio can be negative or positive, therefore, the value of x is either -8 or 8.