in the fig BEST is a parallelogram . find the values x,y and z
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angle B =angle x..........( opposite angles of parallelogram are congruent)
x =100 degree,
angle B+ angle z =180 degree. (adjacent angles of parallelogram are supplementary)
100 degree +angle Z=180 degree
angle z =80 degree
angle z+ angle y =180 degree ( angles in linear pair this angles sum is 180 degree)
80 degree +angle y =180 degree
angle y = 100 degree
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x =100 degree,
angle B+ angle z =180 degree. (adjacent angles of parallelogram are supplementary)
100 degree +angle Z=180 degree
angle z =80 degree
angle z+ angle y =180 degree ( angles in linear pair this angles sum is 180 degree)
80 degree +angle y =180 degree
angle y = 100 degree
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x=100°[alternate angles]
z=180-100°=80°[sum of adjacent angles in a parallelogram]
y=180-80°=100°[linear pair]
Hope its helpful
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