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Angle Relationships

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Complementary Angles

Two angles are complementary if the sum of their measures is 90 degrees ( $90^\circ$ ).

Alternate Interior Angles

Alternate interior angles lie between two lines and on opposite sides of a transversal. They are congruent in the case of parallel lines.

Adjacent Angles

Adjacent angles share a common vertex and side but do not overlap.

Supplementary Angles

Two angles are supplementary if the sum of their measures is 180 degrees ( $180^\circ$ ).

Vertical Angles

Vertical angles are opposite angles formed by two intersecting lines, and they are congruent.

Corresponding Angles

Corresponding angles are on the same side of the transversal and in corresponding positions. They are congruent when lines are parallel.

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