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Given that
angle BAC = 70°
angle ACB = 50°
first we have to find angle ABC .
we know that the sum of all the angles of triangle is 180°
so,
70°+50°+x=180°
x+120°=180°
x=180°-120°
x=60°
now , we know that the sum of all the angles of a straight line is 180°
their for : x+60°=180°
x=180°-60°
x=120°
hence the angles ABD is 120°
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