The vertical angles are 56° aech.
Angle next to 56° is: 60° (sum of triangle)
Angle next to 71° is: 45° (sum of triangle)
What are Vertical Angles?
Vertical angles have equal measure.
In the diagram given, 64 and the opposite angle are congruent because they are vertical angles.
The angle next to 56° is: 180 - 64 - 56 = 60° (sum of triangle)
The angle next to 71° is: 180 - 64 - 71 = 45°.
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