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Jro · Answer 1 · 2019-08-19T07:15:07+0000

The angles A and B are alternate interior angles, and as such their measure is the same.

This leads to the equation

8x+6=4x+38

Subtract 4x and 6 from both sides to get

8x-4x = 38-6

which simplifies to

4x = 32

Plug this value for
in the expression for
to get

B = 4x+38 = 32+38 = 70