Explain angle theorems, Mathematics

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Explain Angle Theorems ?

Certain angles and angle pairs have special characteristics: Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent (that is, they have the same measure).

1562_Vertical angles.png

Two lines are perpendicular if they form a right angle.

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If two parallel lines are cut by a transversal, then alternate interior angles are congruent. The picture below shows two pairs of alternate interior angles: angles C and D; angles E and F.

388_alternate interior angles.png

If two parallel lines are cut by a transversal, then corresponding angles are congruent. The picture below shows two pairs of corresponding angles: angles G and H; angles I and K.

360_corresponding.png


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