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.

mac - mde = 56°

1. multiply the angle measure by 2.

2(m∠abc) =

m∠abc = 28°
mac = 80°
mde = 24°

Explanation:

Step1: Identify the angle measure

We know that \( m\angle ABC = 28^\circ \).

Step2: Multiply by 2

To find \( 2(m\angle ABC) \), we substitute the value of \( m\angle ABC \) into the expression. So, \( 2\times28^\circ = 56^\circ \).

Answer:

\( 56^\circ \)