Answer:
X= 38°
Y = 142°
Step-by-step explanation:
let the angle vertically opposite to 142° = w
therefore, w= 142° ( vertically opposite angles are equal)
hence,x+ w =180° ( two interior angles sum up to 180°)
x+ 142° = 180°
x= 180 - 142 = 48°
X = 38°
then calculating for Y
X + Y = 180° ( angles on a straight line sum up to 180°)
38+Y = 180
Y = 180- 38
Y = 142°
we're done here...
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