Question

the following parallelograms find the values of the unknown x y z
2 nd and 4 th part
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Answer 1

Answer:

(2)

In a parallelogram, adjacent angles add up to 180°.

Thus,

50° + y = 180°

y = 180° - 50°

y = 130°

Since opposite angles x and y are equal in a parallelogram,

x = y = 130°

Since y and z are Alternate Interior Angles, they are equal:

y = z = 130°

(4)

Since the 80° and y angles are opposite, they are equal:

y = 80°

Since y and z are Alternate Interior Angles, they are equal:

y = z = 80°

Since y and x are Adjacent Angles, they are complimentary:

y + x = 180°

80 + x = 180°

x = 180° - 80°

x = 100°

Hope this helps.

Thanks.