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​The sum of the consecutive angles of a parallelogram is equal to: ​
Question

The sum of the consecutive angles of a parallelogram is equal to:

A.

360°

B.

120°

C.

90°

D.

180°

Correct option is D

Given:

The sum of the consecutive angles of a parallelogram is equal to:

Solution:

In a parallelogram, opposite angles are equal, and adjacent angles (consecutive angles) are supplementary. ​​

For consecutive angles:

A+B=180∠A+∠B=180^∘

B+C=180∠B+∠C=180^∘​​​

C+D=180∠C+∠D=180^∘

D+A=180∠D+∠A=180^∘

That means the sum of any two consecutive angles is 180180 ^∘.

Since the sum of all four angles in a parallelogram is always 360360^∘.

Thus, option (d) is correct.

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