Question

1. a parking space is in the shape of a parallelogram. the figure below is a model of the parking space. the measure of angle b is $80^\circ$. what are the measures of the other 3 angles?

Explanation:

Step1: Use opposite angles property

In a parallelogram, opposite angles are equal. So $\angle B = \angle D = 80^\circ$.

Step2: Use consecutive angles property

Consecutive angles in a parallelogram are supplementary (sum to $180^\circ$). Calculate $\angle A$:
$\angle A = 180^\circ - \angle B = 180^\circ - 80^\circ = 100^\circ$

Step3: Use opposite angles property again

$\angle A$ and $\angle C$ are opposite angles, so $\angle C = \angle A = 100^\circ$.

Answer:

$\angle A = 100^\circ$, $\angle C = 100^\circ$, $\angle D = 80^\circ$