.In the following figure ,find the measures of , , ,
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Step-by-step explanation:
let the quadrilateral be ABCD
x + 60° = 180 ( linear pair )
x = 180 - 60 = 120°
similarly
y + 80° = 180°
y = 180 - 80 = 100°
z + 60° = 180°
z = 180 - 60 = 120°
x + y + 60 + A = 360° ( ANGLE SUM PROPERTY OF A QUADRILATERAL )
100 + 120 + 60 + A = 360
280 + A = 360
A = 360 - 280 = 80°
therefore,
w + A = 180
w = 180 - 100 = 80°
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