Question

NEED HELP ASAP. The pictures goes with the problems.

Answer 1

Answer: m∠$E=74\°$

Step-by-step explanation:

1. By definition, the adjacent angles of a parallelogram are supplementary, they add up 180 degrees. Therefore, in the given parallelogram:

$O+M=180$

$3x+1+2x+4=180$

2. Then, you must solve for x, as following:

$5x+5=180$

$5x=175\\x=35$

3. Substitute the value of x obtained into $2x+4$ to calculate the angle M:

$2x+4=2(35)+4=74$

Then:

m∠$M=74\°$

4. By definition the opposite angles of a parallelogram are equal, therefore:

$E=M\\E=74\°$