Ian asked in Science & MathematicsMathematics · 1 month ago

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

Relevance
• 1 month ago

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.