Answer:
x=20; vertical angles theorem
Step-by-step explanation:
hi! we can use the vertical angles theorem for this. vertical angles are congruent to each other, meaning they are the same amount of degrees. so, we can set 2x+10 and 50 equal to each other.
2x+10=50
2x=40
x=20
x=20 because of the vertical angles theorem.
The greatest common factor of 66 and 42 is 6
Use Pythagorean's Theorem to solve for the missing leg length.

with a being the length of the missing leg. Simplifying we have

and
. If we are told to express our answer to the nearest tenth of an inch, then we are simply plugging that into our calculator to get 26.45 or, rounded correctly, 26.5