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Choose an equation for the relationship between the measures of the segments, angles, and arcs.

Choose an equation for the relationship between the measures of the segments, angles-example-1

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The answer would be the second one, (measure QPR is equal to 1/2(QTR - QR). Same as the first question you ask, just use the (large arc - small arc)/2 formula.
User Kubuzetto
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Answer:

m∠QPR =
(1)/(2)( arc QTR - arc QSR) would be the relation between segments, angles, and arcs.

Explanation:

Given : A circle with two secant QP and RP and larger arc QTR , smaller QSR.

To find : An equation for the relationship between the measures of the segments, angles, and arcs.

Solution : We have given that A circle with two secant QP and RP and arc QTR , QSR.

Angle by two secant =
(1)/(2)( larger arc -smaller arc)

So, the relation between segments, angles, and arcs by diagram is :

m∠QPR =
(1)/(2)( arc QTR - arc QSR).

Therefore, m∠QPR =
(1)/(2)( arc QTR - arc QSR) would be the relation between segments, angles, and arcs.

User Billy Jo
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8.6k points

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