Three angles of a quadrilateral are 50° 70 °and 100° .what is the measure of the
fourth angle
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Let,
ABCD be the quadrilateral where
angle A = 50°
angle B = 70°
angle C = 100°
angle D = x
Since,
sum of angles of a quadrilateral = 360°
angle A + angle B + angle C + angle D = 360°
50° + 70° + 100° + x = 360°
120° + 100° + x = 360°
220° + x = 360°
x = 360° - 220°
x = 140°
THEREFORE, the measure of angle is 140°
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