Question

1. find the measure of e°. 159° a° b° c° e° d° 159° 100.5° 60° 21°

Explanation:

Step1: Identify vertical - angle relationship

The angle of $159^{\circ}$ and angle $b$ are vertical angles. So, $b = 159^{\circ}$.

Step2: Use linear - pair relationship

Since $a$ and $159^{\circ}$ form a linear - pair, $a+159^{\circ}=180^{\circ}$, then $a = 180^{\circ}-159^{\circ}=21^{\circ}$.

Step3: Use corresponding - angle relationship

Angles $a$ and $e$ are corresponding angles. Corresponding angles formed by a transversal intersecting two parallel lines are equal. So, $e=a = 21^{\circ}$.

Answer:

$21^{\circ}$