Can somebody help me with this?

x=2

Step-by-step explanation:

We can see that ∠RTU and ∠STR make up ∠STU. Therefore, we add them together and set it equal to 114°.

24x+34x-2=114                [combine like terms]

58x-2=114                         [add both sides by 2]

58x=116                            [divide both sides by 58]

x=2

Now, we know that x=2.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

d i think

step-by-step explanation: