Question

explore the properties of angles and arcs formed by two intersecting secants. 1. find the difference of arc measures, ( mwidehat{ac} - mwidehat{de} = square^circ ) ( mangle abc = 28^circ ) ( mwidehat{ac} = 80^circ ) ( mwidehat{de} = 24^circ )

Explanation:

Step1: Identify given arc measures

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

Step2: Calculate the difference

Subtract the measure of arc \( DE \) from arc \( AC \): \( 80 - 24 = 56 \).

Answer:

\( 56 \)