Answer:
m∠N=
m∠O=
Step-by-step explanation:
we know that
In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary
so
In this problem
m∠M=m∠O
m∠L=m∠N
m∠M+m∠N= -------> by supplementary angles
substitute the values and solve for x
so
Statements
<u>case A)</u>
The statement is true ------> see the procedure
<u>case B)</u> m∠L=
The statement is False
we know that
opposite angles are congruent
so
m∠L=m∠N
m∠L=
<u>case C)</u> m∠M=
The statement is False
we know that
m∠M=
<u>case D)</u> m∠N=
The statement is True
we know that
m∠N=
<u>case E)</u> m∠O=
The statement is True
we know that
opposite angles are congruent
so
m∠O=m∠M
m∠O=