Question

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

Answer 1

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.

Answer 2

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.