Question

1. find the measure of $e^\circ$.

$100.5^\circ$
$21^\circ$
$60^\circ$
$159^\circ$
in the diagram: angles $a^\circ$, $b^\circ$, $c^\circ$, $d^\circ$, $e^\circ$, and a $159^\circ$ angle are formed by parallel lines and transversals

Explanation:

Step1: Find $a^\circ$ (supplementary angle)

$a^\circ = 180^\circ - 159^\circ = 21^\circ$

Step2: Identify $c^\circ$ (corresponding angle)

$c^\circ = a^\circ = 21^\circ$

Step3: Find $e^\circ$ (supplementary angle)

$e^\circ = 180^\circ - c^\circ = 180^\circ - 21^\circ = 159^\circ$

Answer:

$159^\circ$