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Given a∥b , and c is not parallel to a or b, which statements must be true?



Select each correct answer.


m∠3=m∠7

m∠5=m∠9

m∠1=m∠12

m∠1=m∠8

Given ab and c is not parallel to a or b which statements must be true Select each correct answer m3m7 m5m9 m1m12 m1m8 class=

Respuesta :

wegnerkolmp2741o

m<3 = m<7  true

m1 = m<8  true

the others are not true since c is not parallel

Answer:

angle 3 = angle 7 and angle 1 = angle 8 are true,.

Explanation:

Given two parallel lines a and b.  c is not parallel to a or b.

We know that parallel lines never meet.  And when a transversal cuts the parallel lines, we have corresponding angles equal and alternate angles equal.

Here when the set of parallel lines a,b are cut by transversal, corresponding

angles formed are (3,7) .

Hence angle 3 = angle 7  ... i

I option is right

Also (4,8) are corresponding angles.  Hence

angle 4 = angle 8 (corresponding angles)

angle 1 = angle 4 (vertically opposite angles)

Hence we get angle 1 = angle 8

Option 4 is true.

5 and 9 are not formed by parallel lines hence they need not be equal.

Similarly 1 and 12 need not be equal as c is not parallel to a or b.

SO only option 1 and 4 are correct.

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