(02.02)Angle XYZ is formed by segments XY and YZ on the coordinate grid: A coordinate plane is shown. Angle XYZ has endpoints at 3 comma negative 1 and 6 negative 2 and 3 comma negative 3 and measures 36.87 degrees. Angle XYZ is rotated 270 degrees counterclockwise about the origin to form angle X'Y'Z'. Which statement shows the measure of angle X'Y'Z'? m∠X'Y'Z' = m∠XYZ m∠X'Y'Z' = 180 degrees m∠X'Y'Z' = 270 degrees m∠X'Y'Z' = 2 × m∠XYZ

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.

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step-by-step explanation: