Question

Find the measures of the angles X,YandZ.​

Answer 1

ABCD is a parallelogram where, <C=80°.

So,

<y=<C [Opposite angles are equal in a parallelogram]

=> <y=80°

<y+<x=180° [Adjacent angles are supplementary]

=> 80°+<x=180°

<x=180°-80°

<x=100°

<x=<z [Opposite angles are equal in a parallelogram]

=> <z=100°

Therefore,

<A=80°=<y

<B=100°=<z

<D=100°=<x

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Answer 2

Answer:

ABCD is a parallelogram where, <C=80°.

So,

<y=<C [Opposite angles are equal in a parallelogram]

=> <y=80°

<y+<x=180° [Adjacent angles are supplementary]

=> 80°+<x=180°

<x=180°-80°

<x=100°

<x=<z [Opposite angles are equal in a parallelogram]

=> <z=100°

Therefore,

<A=80°=<y

<B=100°=<z

<D=100°=<x