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Given:
Figure of similar triangles.
To find:
The value of x and the measure of NR.
Solution:
In triangle RST and RMN,
(Vertically opposite angles)
(Alternate interior angles)
(By AA property of similarity)
We know that, corresponding sides of similar triangles are proportional.
On further simplification, we get
The value of x is 7.
Now,
Therefore, the value of x is 7 and the measure of NR is 12 units.