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what are the missing angle measures in parallelogram RSTU

m<R=70,m<T=110
m<R=110,m<T=110
m<R=110,m<T=70
m<R=70,m<T=110

what are the missing angle measures in parallelogram RSTUmltR70mltT110mltR110mltT110mltR110mltT70mltR70mltT110 class=

Respuesta :

calculista

Answer:

[tex]m<R=110\°[/tex] , [tex]m<T=110\°[/tex]

Step-by-step explanation:

we know that

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

so

[tex]m<T=m<R[/tex] ----> equation A

[tex]m<R+m>S=180\°[/tex] -----> equation B

we have

[tex]m>S=70\°[/tex]

substitute in the equation B and solve for m<R

[tex]m<R+70\°=180\°[/tex]

[tex]m<R=180\°-70\°=110\°[/tex]

[tex]m<R=110\°[/tex] -----> substitute in equation A

[tex]m<T=110\°[/tex]

anitamariacastillo19

Answer:

B) m∠R = 110°, m∠T = 110°, m∠U = 70°

Step-by-step explanation:

correct

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