Question

Given a || b , and c is not parallel to a or b, which statements must be true? a 1/2 3 / 4 Select each correct answer b . 5/6 7/8 mZ2 = m_7 9/10 C m27 = m_10 11 / 12 mZ8 = m29 m24 = m28

Answer 1

m∠2 = m∠7

and

m∠4 = m∠8

Both are correct answers and should be ticked

Here, we want to select which of the statements must be correct based on the diagram given

a) m∠2 = m∠7

This is correct

m∠2 = m∠3 as they are vertically opposite angles

However, m∠3 = m∠7 as they are vertically opposite angles

b) m∠7 = m∠10

We cannot compare the relationship between b and c as the pair are not parallel lines

c) m∠8 = m∠9

This is not correct also as the pair of lines are not parallel

d) m∠4 = m∠8

These two are corresponding angles, so they are congruent and thus equal in value