Question

Determine the values of the variables in the parallelograms below help me please

Answer 1

Answer:

Part 1)

$x=-11$

$m=170\°$

Part 2)

$x=-5, x=1$

$m=-10, m=14$

Step-by-step explanation:

we know that

In a parallelogram opposite sides and opposite angles are congruent, and consecutive angles are supplementary

Part 1)

Find the value of x

$25=-3x-8$ ----> opposite sides are congruent

solve for x

$25=-3x-8$

$3x=-8-25$

$x=-33/3=-11$

Find the value of m

$(70+(m-60))=180\°$ ----> consecutive angles are supplementary

solve for m

$m=180\°-10\°=170\°$

Part 2)

Find the value of x

$5=x^{2}+4x$ ---> opposite sides are congruent

using a graphing tool

see the attached figure N 1  

The solutions are

$x=-5, x=1$

Find the value of m

$(m^{2}-4m)=140\°$ ---> opposite sides are congruent

solve for m

using a graphing tool

see the attached figure N 2  

The solutions are  

$m=-10, m=14$