Find M<1, M<2, and M<3, explain your reasoning?

M<2= ? by the ?

M<1= ? by the ?

M<3= ? by the ?

A. 43 degrees

B. 133 degrees

C. Corresponding Angles Theorem

D. Alternate Exterior Angles Theorem

E. Consecutive Interior Angles Theorem

F. Alternate Interior Angles Theorem

G. Vertical Angles Congruence Theorem

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  • 1 month ago
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    I suspect a typo in your list of answers. If the measure 133° is correct, as shown in the figure, then the other possible angle measure for the cases shown would be 47° rather than 43°. The two measures should add up to 180°. 

     

    m∠2 = 133° by the Alternate Interior Angles Theorem, 

    because it and the given 133° angle are alternate interior angles. 

     

    m∠1 = 47° by the Consecutive Interior Angles Theorem, 

    because it and ∠2 are consecutive interior angles. 

     

    m∠3 = 47° by either theorem, 

    because it and the given 133° angle are consecutive interior angles, 

    and it and ∠1 are alternate interior angles 

    (based on the same transversal, but on different pairs of parallel lines). 

     

    I've put a link in the Source section below to an online, interactive tutorial that covers all the different pairs of angles.

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