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42 votes
In this figure, AB¯¯¯¯¯¯¯¯∥CD¯¯¯¯¯¯¯¯ and m∠2 = 61°.

What is m∠6?

In this figure, AB¯¯¯¯¯¯¯¯∥CD¯¯¯¯¯¯¯¯ and m∠2 = 61°. What is m∠6?-example-1
User Preeya
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1 Answer

25 votes
25 votes

Answer:

m∠6 = 61°

Explanation:

Given a transversal crossing parallel lines AB and CD, you want the measure of angle 6 given that angle 2 is 61°.

Angles at a transversal

Where a transversal crosses parallel lines, corresponding angles and vertical angles are congruent. This has the effect of making all acute angles congruent, and all obtuse angles congruent.

Acute angle 6 is congruent to acute angle 2, which measures 61°. (They are "corresponding" angles.)

m∠6 = 61°

User Otavio
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