The problem asks us to find the size of angle $DAB$ in a quadrilateral $ABCD$. We are given that angle $ADC = 97^\circ$, angle $ABC = 64^\circ$, and angle $DCB = 90^\circ$ (indicated by the right angle symbol).

1. Problem Description

The problem asks us to find the size of angle $DAB$ in a quadrilateral $ABCD$. We are given that angle $ADC = 97^\circ$, angle $ABC = 64^\circ$, and angle $DCB = 90^\circ$ (indicated by the right angle symbol).

2. Solution Steps

The sum of the interior angles in a quadrilateral is $360^\circ$. Therefore, we have

$ADC + DCB + CBA + BAD = 360^\circ$.

We are given the following angles:

$ADC = 97^\circ$

$DCB = 90^\circ$

$CBA = 64^\circ$

We want to find the size of angle $DAB$, which is $BAD$. Substituting the known values into the equation:

$97^\circ + 90^\circ + 64^\circ + BAD = 360^\circ$

$251^\circ + BAD = 360^\circ$

$BAD = 360^\circ - 251^\circ$

$BAD = 109^\circ$

3. Final Answer

The size of angle $DAB$ is $109^\circ$.