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Lerok [7]
3 years ago
14

Help!!!!please, I need to answer this question

Mathematics
1 answer:
Butoxors [25]3 years ago
3 0

Answer:

m<B = 62°

Step-by-step explanation:

Given that ∆ABC is congruent to ∆TUV, it follows that their corresponding angles are equal to each other. Therefore:

m<B = m<U

m<B = (3y + 2)°

m<U = (4y - 18)°

Thus,

3y + 2 = 4y - 18

Collect like terms

18 + 2 = 4y - 3y

20 = y

y = 20

m<B = (3y + 2)°

Plug in the value of x

m<B = 3(20) + 2

m<B = 60 + 2

m<B = 62°

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