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

Help!!!!please, I need to answer this question-example-1
User Catrice
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1 Answer

5 votes

Answer:

m<B = 62°

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°

User Nidal
by
8.1k points

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