Alternate Interior Angles Examples

C 110 by supplementary angles theorem we know. N 60 o implies m 60 o because m and n are alternate interior angles and so they are congruent. B is a supplement of 60.

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When two lines are crossed by another line called the transversal.

Alternate interior angles examples. Therefore b 60 180 b 180 60 120. 120 o n 180 o straight angle step 2. D and 60 are vertical angles.

Find the value of x from the given below figure. Find the missing angles a c and d in the following figure. In this example these are two pairs of alternate interior angles.

The alternate interior angles theorem states if two parallel lines are cut by a. Li l i and on o n with transversal h e h e given lar arn l a r a r n given lar h ai l a r h a i vertical. N 60 o solve for n step 3.

D and e are alternate interior angles. As angles a 110 c and d are all alternate interior angles therefore. To prove the converse if two lines are cut by a transversal and the alternate interior angles are congruent then the lines are parallel we work the other way around.

Alternate interior angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. The angle pairs are on alternate sides of the transversal and they are on the interior of the two crossed lines. Therefore c b 120.

Definition theorem examples definitions. B and c are vertical angles. Solved example on alternate interior angles.

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Theorem 6 2 If Transversal Intersects Two Parallel Lines Then Each Pair Of Alternate Interior Angles Are Equal Theorems Alternate Interior Angles Equality

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