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
- SamwiseLv 71 month agoFavorite Answer
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.