Question

Michael draws three parallelograms. In each figure, he measures a pair of angles, as shown.

Which conjecture is reasonable for Michael to make?


In a parallelogram, consecutive angles are supplementary.

In a parallelogram, all angles are congruent.

In a parallelogram, consecutive angles are congruent.

In a parallelogram, consecutive angles are complementary.

Answer 1

In a parallelogram, consecutive angles are supplementary.

Explanation:

Consecutive angles in a parallelogram have a sum of 180°; this means they are supplementary.

All angles in a parallelogram are not necessarily congruent; the second statement is therefore not true.

Consecutive angles in a parallelogram are not necessarily congruent; therefore the third statement is not true.

Consecutive angles in a parallelogram are not complementary, as they add up to 180° instead of 90°.

Answer 2

In a parallelogram, consecutive

angles are supplementary