Question

can you show that this quadrilateral is a parallelogram?
44°
142°
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: Test consecutive angle sum

Add the given angles: $44^\circ + 142^\circ = 186^\circ$

Step3: Compare to required sum

Since $186^\circ
eq 180^\circ$, the angles do not satisfy the consecutive angle property of a parallelogram.

Answer:

no