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Sagot :

Answer:

x = 9

∠B = 40°

Explanation:

because the lines are parallel, a and b are alternate angles. this means that they are equal. thus, we know that:

5x - 5 = 3x + 13

(add 5 to each side) 5x = 3x + 18

thus, 2x = 18 and x = 9.

we can now find ∠B by substituting 9 for x into the equation:

3x + 13

= 3 × 9 + 13

= 27 + 13

= 40°

i hope this helps! :D

Answer:

x = 9

<B = 40 degrees

Step-by-step explanation:

Hi,

5x - 5 = 3x + 13

Subtract 3x...

2x - 5 = 13

Add 5...

2x = 18

Divide by 2...

x = 9

Now find <B

3(9) + 13

27 + 13

<B = 40 degrees

hope this helps :)