Question

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

Answer 1

Part 1)

`x=-11`

`m=170\°`

Part 2)

`x=-5, x=1`

`m=-10, m=14`

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`