Respuesta :

X is the supplementary angle of the given 75
X + 75  = 180
X = 180-75
X = 105
 
Y and X are Consecutive Interior angles and need to equal 180 degrees
Y =180-X
Y = 180 - 105
Y = 75 degrees

Z and the given 86 degrees are vertical angles so Z also = 86 degrees


W and Z are Consecutive Interior angles and need to equal 180 degrees
W = 180 - Z
W = 180 - 86 = 94 degrees


x + 75 = 180 (linear pair)

x = 180 - 75 = 105

y = 75 (alternate angles)

z = 86 ( vertically opposite)

w + z = 180 ( co interior)

w = 180 - 86 = 94

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