Answer:
12. x = 50
13. m∠M = 34°
Step-by-step explanation:
12.
Since the triangles are congruent, the sides' lengths are proportional. We can set up a ratio and solve for x.
Side JG corresponds to Side KM
Side HG corresponds to Side LM
Now, we can set up a ratio, cross multiply, and solve for x. Shown below:
[tex]\frac{35}{70}=\frac{25}{x}\\35x=70*25\\35x=1750\\x=\frac{1750}{35}\\x=50[/tex]
Thus, the value of x is 50
13.
The triangles are similar, so sides are proportional and angles are not related in the same way. Angles are same for both.
We want the value of Angle M, that angle corresponds to Angle G of the left triangle.
It is given that Angle G = 34, so Angle M would be the same degree measure as well.
Hence,
m∠M = 34°
