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Nady [450]
3 years ago
13

Two parallel lines, m and n, are cut by a transversal, t, as shown in the figure below.

Mathematics
1 answer:
Misha Larkins [42]3 years ago
6 0

Answer:

C

Step-by-step explanation:

∠2 and ∠7 are alternate interior angles

alternate interior angles are congruent meaning ∠2 ≅ ∠7

we have ∠2 = 2x + 7 and ∠7 = 3x - 13

hence, 2x + 7 = 3x - 13

==> add 13 to both sides

2x + 20 = 3x

==> subtract 2x from both sides

20 = x

now to find the measure of ∠7 we plug in the value of x

∠7 = 3x - 13

==> plug in x = 20

∠7 = 3(20) - 13

==> multiply 3 and 20

∠7 = 60 - 13

==> subtract 13 from 60

∠7 = 47

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