pls show it step by step . irreverent answer will be reported
Answers
Answer:
x=100°
x+A=200°
as we know that sum of angles made in parallelogram is 360°
if x + A =200°
then other two say z and other one makes 180°(360°-200°=160°=160/2=80°)
z+y=180°( angle lie on the same plane)
80°+y=180°
y=100°
here x=100°,y=100°,z=80°
so, correct is 100°,100°,80°
SOLUTION -
GIVEN -
Figure ABCD is parallelogram
Angle A = 100 degree
TO FIND -
Angle x , y , z = ?
1) Angle (x)
We know that , The opposite angles of a parallelogram are equal.
Hence , angle C = angle A
Angle C = 100 degree
Therefore x = 100 degree
2) Angle (y)
We know that , Congruent angles are equal.
Hence , Angle Y = Angle X (congruent angles)
Therefore y = 100 degree
3) Angle (z)
We know that , sum of the supplementary angle is 180 degree .
Hence , angle y + angle z = 180
100 + angle z = 180
angle z = 80 degree
Therefore z = 80 degree
THEREFORE OPTION NUMBER (B) IS CORRECT .
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