Two interior angles of a parallelogram come in a ration of 11:7. What are the measures of all four interior angles of the parallelogram?

Verified Answer :

Aivi

Angels next to each other have sum of 180 degrees 

 \(\left \{ {{a/b = 11/7} \atop {a+b = 180}} \right.\)

 \(\left \{ {{7a=11b} \atop {7a+7b = 7*180}} \right.\)

 \(\left \{ {{7a=11b} \atop {11b+7b = 7*180}} \right.\)


\(\left \{ {{7a=11b} \atop {18b = 7*180}} \right.\)

\(\left \{ {{7a=11b} \atop {b = 7*10}} \right.\)

\(\left \{ {{7a=11*70} \atop {b = 70}} \right.\)

\(\left \{ {{a=11*10} \atop {b = 70}} \right.\)

\(\left \{ {{a=110} \atop {b = 70}} \right.\)