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Find the value of x
The angle of a flat angle is 180. So, where you the the 110 angle... that means the angle on the inside (just on the other side of the 110) is 180-110 = 70 Since the sum of angles inside a triangle is 180, the remaining angle x is equal to 180-(70+72)=38

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So x equals 38 right?
Yes, x = 38.
Yes, triple confirming lol.
What is the third congruence needed to prove that triangle PQR is congruent to triangle STU using the indicated theorem?
Oh my this is really farr back for me... I don't even know what HL or AAS mean? But I'm guessing AAS is like angle-angle-side o_O I don't know I didn't go to an English high school.
yes do u think its aas?
What's HL??
Hyptotenuse leg its just like a right angle with two congruent sides
I'm gonna guess with AAS.. it's the only thing remotely that I remember associated with congruences
Help with rotations, reflections, and translation
It's kind of a trick question. It's a right triangle, so you could argue HL (which is actually a special case of SAS) since you're given the hypotenuse and just need a leg. But it's also AAS since you're given an angle and a side. I would probably go with HL and, unless a computer is grading, write a note that says you could also prove it with AAS.
They should have made ASA the second option, in which case it definitely would have been HL (because the hypotenuse wouldn't be the side between the two angles).

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