Question

one angle of a parallelogram is 130.find the measure of its remaining angles.



plz with full explanation and not just the answer I need to solve my worksheet​

Answer 1

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Answer 2

Given :

ABCD is a parallelogram, in which<A = 130°

To find :

We have to find the remaining angles in the parallelogram.

Solution :

<A = <C {Opposite angles in a parallelogram are equal}

=> <C = 130°

<A + <B = 180° {Adjacent angles are supplementary in a parallelogram}

=> 130° + <B = 180°

=> <B = 180° - 130°

=> <B = 50°

<B = <D {Opposite angles are equal in a parallelogram}

=> <D = 50°

Therefore, <A = 130°

<B = 50°

<C = 130°

<D = 50°

Note :

Refer the attachment for the figure.