In the adjoining figure,best is a parralellogram.Find the value x,y and z
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hey mathe angle T = angle s
100 = 100 = x
and sum of angles //gm is 360
therefore
100 + 100+ z + z = 360
2z = 160
z = 80
and sum of agle on staright line is 180.
so angle z + y = 180
80 + y = 180
y = 100
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Opposite angles of a parallelogram are congruent.
Therefore, angle B and angle S are congruent.
B=S
100=S
therefore x =100°
Adjacent angles of a parallelogram Supplementary
by this,
x + z = 180°
100° + z = 180°
z = 180° - 100°
z = 80°
therefore z = 80°
z and y are linear pair angles.
Sum of linear pair angles is 180°.
z + y = 180°
80° + y = 180°
y = 180° - 80°
y = 100°
therefore y = 100°.
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