Complete the following proof.

given: rectangle ruts

prove: ∠usr = ∠sut

There is a theorem that states that the two triangles made from connecting a rectangles opposing vertices produces two identical triangles. you can then use the cpctc theorem to prove the angles are congruent. it can also be proven by using the hypotenuse-leg theorem; US=SU because of the symmetric property, RU=ST because RUTS is a rectangle and therefore its parallel sides are congruent, ∠URS and ∠UST are right because RUTS is rectangular, therefore triangleUSR=triangleSUT because of the hypotenuse leg theorem, ∠USR=∠SUT becuase of CPCTC

x=-2

y=8

Step-by-step explanation:

4x+2y = 8

4x+3y = 16

Subtract the first equation from the second equation

4x+3y = 16

-4x -2y = -8

0x +y = 8

y =8

Substitute this into the first equation to find x

4x+2(8) = 8

4x+16 = 8

Subtract 16 from each side

4x+16-16 = 8-16

4x = -8

Divide each side by 4

4x/4 =-8/4

x =-2