in the following figure what is the measures of angle x
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Given XY || BC
∠XAB = 50° (Given)
∠ABC = ∠XAB = 50° ( corresponding sides are equal )
∠ACB = x (Given)
∠BAC = 83°
By triangle theorem 1
The sum of all the three interior angles of a triangle is 180 degrees.
i.e., ∠ABC + ∠BAC + ∠ACB = 180°
50° + 83° + x = 180°
133° + x = 180°
x = 180° - 133°
x = 47°
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