Kiybaby11 Kiybaby11
  • 23-02-2021
  • Mathematics
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Each quadrilateral below is a parallelogram. Find the missing measures

Each quadrilateral below is a parallelogram Find the missing measures class=

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snog
snog snog
  • 23-02-2021

Answer:

[tex]ST=3[/tex], [tex]VT=10[/tex], [tex]m[/tex]∠[tex]V=48[/tex]°, [tex]m[/tex]∠[tex]T=132[/tex]°

Step-by-step explanation:

In a parallelogram, opposite sides are congruent and therefore have the same length. Thus, [tex]ST=RV=3[/tex] and [tex]VT=RS=10[/tex].

Similarly, opposite angles in a parallelogram are congruent and therefore have the same measure. Thus, [tex]m[/tex]∠[tex]V=m[/tex]∠[tex]S=48[/tex]° and [tex]m[/tex]∠[tex]T=m[/tex]∠[tex]R=132[/tex]°. Hope this helps!

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