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The measures of the following angles are:
∠6 = 124°, ∠2 =124°, ∠3 = 124° ∠5 = 56°, ∠7 = 124° ∠1 = 56°
Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
∠4 = 56° ( corresponding angles are equal)
∠1 =∠4 ( vertically opposite angles are equal)
∠1 = 56°
∠7 + 56° = 180 ( angles on a straight line sum up to 180°)
∠7 = 180 - 56
∠7 = 124°
∠7 = ∠6 ( vertically opposite angle are equal)
∠6 = 124°
∠3 = ∠6 ( alternate angles are equal)
∠3 = 124°
∠2 = ∠3 ( vertically opposite angle)
∠2 = 124°
∠5 = 56° ( vertically opposite angles)
The unknown angles are: ∠1 = 56° ∠2 = 124°, ∠3 = 124°, ∠4 = 56°, ∠5 = 56°, ∠6 = 124° ∠7 = 124°
Learn more about corresponding angles: https://brainly.com/question/11853802
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