Question

consider the following parallelogram. find values of unknowns x,y,z​

Answer 1

Answer:

y=100°( opposite sides are equal in a parallelogram)

x=180°-100°(angle on the same of the parallelogram is 180°)

x=80°

z=80°(opposite sides are equal in a parallelogram)

Answer 2

Answer:

angle B = angle D = 100° (vertically oppo. angles of a parallelogram)

And,

angle B + angle A = 180° (co -interior angles)

100°+ angle A=180°

angle A= 180°-100° = 80°

and angle A =angle C =80° (oppo. angles of parallelogram)

To verify:-

sum of all angles is 360°

here also,

80°+80°+100°+100° = 360°

therefore,also verified..