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 congruent.

In a parallelogram, all angles are congruent.

In a parallelogram, consecutive angles are supplementary.

In a parallelogram, consecutive angles are complementary.

Answer 1

we know that

In parallelogram, the sum of consecutive angles are 180

so, consecutive angles are supplementary

And opposite angles are equal

so, we will check verify each options

option-A:

Since, consecutive angles are supplementary

so, this is FALSE

option-B:

Since, only opposite angles are equal or congruent

so, this is FALSE

option-C:

Since, consecutive angles are supplementary

so, this is TRUE

option-D:

Since, consecutive angles are supplementary

so, this is FALSE