Question

explore the properties of angles and arcs formed by two intersecting secants. 1. find the difference of arc measures. $m\widehat{ac} - m\widehat{de} = \square^{\circ}$ $m\angle abc = 28^{\circ}$ $m\widehat{ac} = 80^{\circ}$ $m\widehat{de} = 24^{\circ}$ (and there is a diagram of a circle with points a, c on the circle, b outside, secants ba, bc intersecting the circle at d, e respectively)

Explanation:

Step1: Identify the given arc measures

We know that \( m\widehat{AC} = 80^\circ \) and \( m\widehat{DE} = 24^\circ \).

Step2: Calculate the difference

To find \( m\widehat{AC}-m\widehat{DE} \), we substitute the given values into the expression:
\( 80^\circ - 24^\circ = 56^\circ \)

Answer:

\( 56 \)