Explore the properties of angles and arcs formed by two intersecting secants.
1. Find the difference of arc measures.
mAC - mDE

The difference of arc measures is always equal to two times the angles measured at an external point of the circle.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

The dimensions are given as

m∠ABC = 28°

mAC = 80

mDE = 24

The difference of arc measure will be

mAC - mDE = 80 - 24

mAC - mDE = 56

Multiply the measure of the angle m∠ABC by 2.

2 (m∠ABC) =  2 (28°)

2 (m∠ABC) =  56°

Moving points A and C to change the angle and arcs make a conjecture.

The difference of arc measures is always equal to two times the angles measured at an external point of the circle.

More about the angled link is given below.

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1.) Find the difference of arc measures.

mAC - mDE = 56

2.) Multiply the angle measure by 2.

2(mABC)= 56

3.) Moving points A and C to change

the angle and arcs and make a

conjecture.

The difference of arc measures

always equal 2 times the

angle measure.

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step-by-step explanation:

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step-by-step explanation: