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} = 56°

1. multiply the angle measure by 2.

2(m\angle abc) = \square°

m\angle abc = 28°
m\widehat{ac} = 80°
m\widehat{de} = 24°

(there is a circle with points a, c, e, d on it, and point b outside the circle. secants ba and bc intersect the circle at a, d and c, e respectively.)

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 multiply the measure of \( \angle ABC \) by 2. So, \( 2\times28^\circ = 56^\circ \).

Answer:

\( 56 \)