Question

State whether the statement is true/false.

In a parallelogram sum of any two consecutive angles is ${180}^o$.

• A. True
• B. False

Answer 1

The correct option is A True

Since ABCD is a parallelogram. Therefore, $AD\parallel BC$.

Now, $AD\parallel BC$ and transversal AB intersects them at A and B respectively.

Therefore, $\angle A+\angle B={180}^o$ [ interior angles ]

Similarly, $\angle B+\angle C={180}^o,\angle C+\angle D={180}^o,\angle D+\angle A={180}^o$.