1. **State the problem:** We are given a parallelogram with sides and angles labeled, and we need to find the values of $x$, $m\angle ADB$, and $m\angle A$.
2. **Use properties of parallelograms:** Opposite sides are equal, and opposite angles are equal. Adjacent angles are supplementary (sum to 180°).
3. **Find $x$:** Given side $AD = 6x$ and side $BC = 18$. Since $AD$ and $BC$ are opposite sides, they are equal:
$$6x = 18$$
Divide both sides by 6:
$$\cancel{6}x = \frac{18}{\cancel{6}}$$
$$x = 3$$
4. **Find $m\angle ADB$:** Given as 63° in the figure, so
$$m\angle ADB = 63^\circ$$
5. **Find $m\angle A$:** Given as 80° in the figure, so
$$m\angle A = 80^\circ$$
**Final answers:**
$$x = 3$$
$$m\angle ADB = 63^\circ$$
$$m\angle A = 80^\circ$$
Parallelogram Angles 1D17A6
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