Question

PLEASE HELP!!! Will give brainliest!

Answer 1

Answer:

$x=11\°$

m∠N=$59\°$

m∠O=$121\°$

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=$180\°$ -------> by supplementary angles

substitute the values and solve for x

$11x+(6x-7)=180\°$

$17x=(180+7)\°$

$x=11\°$

so

Statements

case A) $x=11\°$

The statement is true ------> see the procedure

case B) m∠L=$22\°$

The statement is False

we know that

opposite angles are congruent

so

m∠L=m∠N

m∠L=$6x-7=6(11)-7=59\°$

case C) m∠M=$111\°$

The statement is False

we know that

m∠M=$11x=11(11)=121\°$

case D) m∠N=$59\°$

The statement is True

we know that

m∠N=$6x-7=6(11)-7=59\°$

case E) m∠O=$121\°$

The statement is True

we know that

opposite angles are congruent

so

m∠O=m∠M

m∠O=$11x=11(11)=121\°$