unknown angle = 110°
The diagram denote parallel lines cut by a transversal.
The angle vertically opposite to the angle 110° is also 110°(vertically opposite angles are equal). Then the unknown angle is a corresponding angle to the vertically opposite angle of angle 110° (corresponding angles are equal).
Therefore, the unknown angle is 110°.
Or
The unknown angle and the angle 110° are alternate exterior angles and alternate exterior angles are equal.
unknown angle = 110°
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