Answer:
Part 1)
[tex]x=-11[/tex]
[tex]m=170\°[/tex]
Part 2)
[tex]x=-5, x=1[/tex]
[tex]m=-10, m=14[/tex]
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
[tex]25=-3x-8[/tex] ----> opposite sides are congruent
solve for x
[tex]25=-3x-8[/tex]
[tex]3x=-8-25[/tex]
[tex]x=-33/3=-11[/tex]
Find the value of m
[tex](70+(m-60))=180\°[/tex] ----> consecutive angles are supplementary
solve for m
[tex]m=180\°-10\°=170\°[/tex]
Part 2)
Find the value of x
[tex]5=x^{2}+4x[/tex] ---> opposite sides are congruent
using a graphing tool
see the attached figure N 1
The solutions are
[tex]x=-5, x=1[/tex]
Find the value of m
[tex](m^{2}-4m)=140\°[/tex] ---> opposite sides are congruent
solve for m
using a graphing tool
see the attached figure N 2
The solutions are
[tex]m=-10, m=14[/tex]
