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x=70°
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In triangle ABC
According to angle sum property of a triangle,
angle ABC + angle BAC + angle ACB = 180⁰
30⁰ + 40⁰ + Angle ACB = 180⁰
70⁰ + Angle ACB = 180⁰
Angle ACB = 180⁰ - 70⁰
Angle ACB = 110⁰
Now
Angle ACB + Angle ACD = 180⁰ [Linear Pair]
110⁰ + x = 180⁰
x = 180⁰ - 110⁰
x = 70⁰
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