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in Mathematics by (30.1k points)

Use the informations given in the following figure to find the value of x.

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Take A, B, C, D as the vertices of Quadrilateral and BA is produced to E (say).

Since ∠EAD = 70°

∠DAB = 180° – 70°= 110°

[EAB is a straight line and AD stands on it ∠EAD+ ∠DAB = 180°]

110° + 80° + 56° + 3x – 6° = 360°

[sum of interior angles of a quadrilateral = 360°]

3x = 360° – 110° – 80° – 56° + 6°

3x = 360° – 240° = 120°

x = 40°

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