Question

The diagonals of $▱ABCD$ intersecting at Z. For the following figure, tell whether the statement must be, maybe, or cannot be true.

$m\angle DAB={85}^{\circ }\text{and}m\angle BCD={95}^{\circ }$

Short answer

The statement cannot be true.

Step-by-step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of the parallelogram.

The opposite angles of a parallelogram are congruent.

Step 3. Step description.

Consider ABCD is a parallelogram and diagonals AB and CD intersect at Z.

From the figure, $\angle DAB$and $\angle BCD$are opposite angles of a parallelogram

Since the opposite angles of a parallelogram are congruent thus the angles $\angle DAB$and $\angle BCD$are congruent such that $\angle DAB\cong \angle BCD$.

Therefore, the statement cannot be true.