Given a || b , and c is not parallel to a or b, which statements must be true?
Select each correct answer.
m∠8 = m∠9
m∠7 = m∠10
m∠4 = m∠8
m∠2 = m∠7

C. m∠4 = m∠8

D. m∠2 = m∠7

Step-by-step explanation:

Here, we use the principles of alternate angles, corresponding angles and vertically opposite angles to confirm which of the statements are true. Alternate angles are always equal, corresponding angles are equal, likewise vertically opposite angles.

From the given question, it was given that a is parallel to b. Thus, it can be observed and deduced that;

m∠4 = m∠8  (corresponding angles)

and

m∠2 = m∠3 (vertically opposite angles)

m∠3 = m∠7 (corresponding angles)

So that,

m∠2 = m∠7  

Thus in the question, statements C and D are true.

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