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Svetllana [295]
3 years ago
5

Given a || b , and c is not parallel to a or b, which statements

Mathematics
1 answer:
Lapatulllka [165]3 years ago
7 0

Answer:

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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Let the number be (10 x + y)

Then, 10 x + y = 3 * (x + y) (given)

Or, 10 x + y = 3 x + 3 y

Or, 10 x - 3 x = 3 y - y

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Also, 10 x + y + 45 = 10 y + x ( given)

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Substituting the value of x from (Eq. 1) in (Eq. 2), we have:

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Answer

Check:

Sum of the digits = 2 + 7 = 9

9 * 3 = 27 ✓

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