Question

Can someone help me with this problem? Plzzzz ASAP!!!

Answer 1

Answer:

x = 8

m∠B = 70°

Step-by-step explanation:

The alternate exterior angles theorem states that m∠A and m∠B are the same. So,

8x + 6 = 4x + 38

Subtract 6 from both sides.

8x = 4x + 32

Subtract 4x from both sides.

4x = 32

Divide both sides by 4.

x = 8

Now to find the measure of m∠B, substitute x = 32 into 4x + 38.

8 * 4 + 38 =

32+ 38 = 70

m∠B = 70°

Just in case, let's double check our answer. Because m∠A is equal to m∠B, m∠A should be equal to 70.

70 = 8x + 6

70 = 8 * 8 + 6

70 = 64 + 6

70 = 70

Thus, x = 8 and m∠B = 70° is true.

I hope this helps! Feel free to ask any questions!

Answer 2

Answer:

b=70 degrees

Step-by-step explanation:

a= 8x+6. b= 4x+38

a=b alternate exterior

combine like terms

8x+6=4x+38

Subtract 4x from both sides and 6

4x=32

Divide by 4

x=8

Plug in= 8 for B equation

b= 4(8)+38

b=70 degrees