∠xangle, x and \angle y∠yangle, y are supplementary angles. \angle y∠yangle, y measures 97^\circ97 ∘ 97, degrees. What is the me
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Answer:
The given fraction reduces to
Step-by-step explanation:
Consider the given fraction
We have to reduce the fraction to the lowest terms.
Consider numerator
We can take x² common from both the term,
Thus, numerator can be written as
Given expression can be rewritten as ,
We can now cancel from both numerator and denominator,
Thus, the given fraction reduces to
First notice that the triangle with sides 
and the triangle with sides 
are similar. This is true because the angle between sides 
in the smaller triangle is clearly 
, while the angle between sides 
in the larger triangle is clearly 
. So the triangles are similar with sides corresponding to 
, respectively.
Now both triangles are
, which means there's a convenient ratio between its sides. If the length of the shortest leg is 
, then the length of the longer leg is 
and the hypotenuse has length 
.
Since
is the shortest leg in the larger triangle, it follows that 
, so 
Now both triangles are
Since