Question

can you show that this quadrilateral is a parallelogram? 54° 128° yes no

Explanation:

Step1: Recall parallelogram angle rule

In a parallelogram, consecutive angles are supplementary (sum to $180^\circ$), and opposite angles are equal.

Step2: Check consecutive angles sum

Calculate sum of given angles: $128^\circ + 54^\circ = 182^\circ$

Step3: Compare to required sum

Since $182^\circ
eq 180^\circ$, the consecutive angles are not supplementary, violating the parallelogram angle property.

Answer:

no