Question

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

Answer 1

In a parallelogram, the adjacent angles are supplementary and opposite angles are equal.

y = 180 - 50 = 130

x = y = 130

y = z = 130 (because y and z are alternate interior angles)

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Answer 2

Answer:

x = 130°

y = 130°

z = 130°

Step-by-step explanation:

□ ABCD is a parallelogram

angle A and angle B are adjacent angles

therefore,

A + B = 180°

50° + y = 180°

y = 180° - 50°

y = 130°

Now,

angle B and angle D are opposite angles of parallelogram

therefore,

B = D

but angle B = 130°

then angle D = x = 130°

□ ABCD Parallelogram

therefore BC || AD and CD is transversal

angle D = angle z ......... ( corresponding angles. )

x = z

z = 130°

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