Find the value of x and y.
i haven't learned this yet and i really need

angles that are across from each other at a junction are vertical angles, and thus equal.

∡4x is across the junction from ∡2x + 6, meaning those two sisters are twins.

angles that lie on the same flat-line are linear angles, and since a flat-line has 180°, then those linear angles are supplementary angles, namely they both add up to 180°.

we know x = 3, we also know that ∡4x + ∡y = 180°

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.