Question

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

Answer 1

`m<R=110\°` ,
`m<T=110\°`

Explanation:

we know that

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

so

`m<T=m<R` ----> equation A

`m<R+m>S=180\°` -----> equation B

we have

`m>S=70\°`

substitute in the equation B and solve for m<R

`m<R+70\°=180\°`

`m<R=180\°-70\°=110\°`

`m<R=110\°` -----> substitute in equation A

`m<T=110\°`