I need help i don’t understand this

Angle BAC: 56
ANGLE BCA: 42

Why? First find angle BCA because that angle is on a straight line with another angle on the other side you can do
180-138=42 which is the measurement of angle BCA.

For angle BAC you have to know that the sun of all triangles interior angles is 180 so you do
180-82-42=56
So angle BAC is 56

Hope this helps :D

The flat line is always 180* the angle on the right says 138*. So you subtract 138 from 180 and you get 42*. So you put 42* as the Acute angle next to 138* on C.
It’s been a while since I did this next part so I may be wrong. But once you have the angle of two sides you add them and subtract them from 180 to get the third angle of the rectangle. So 82+42= 124, 180-124=56. So 56 is A

When i did the math i got 11 cm