Question

if the sum of the opposite sides of a parallelogram is 200 degree. find the other angles

Answer 1

In a ||GM opp angles are equal
Therefore, \_ B= \_D and \_A=\_C
and it is given that
\_ B+\_D= 200°
2\_B=200°
\_B=200°÷2
\_B=100°
\_D=100°

Sum of all \_s ||gm is 360°
\_A+\_B+\_C+\_D= 360°
2\_A+200°=360°
2\_A=360°-200°
2\_A=160°
\_A=160°÷2
\_A=80°

Therefore, \_A=\_C= 80°
\_B=\_D= 100°



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