Question

exploring secants, angle measures, and arc measures
explore the properties of angles and arcs formed by two intersecting secants.

1. find the difference of arc measures.

$m\overset{\frown}{ac} - m\overset{\frown}{de} = \square^\circ$
$m\angle abc = 28^\circ$
$m\overset{\frown}{ac} = 80^\circ$
$m\overset{\frown}{de} = 24^\circ$

Explanation:

Step1: Identify given arc measures

$m\widehat{AC}=80^\circ$, $m\widehat{DE}=24^\circ$

Step2: Calculate the arc measure difference

Subtract the smaller arc measure from the larger one.
$m\widehat{AC} - m\widehat{DE} = 80^\circ - 24^\circ$

Answer:

$56^\circ$