Question

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

Answer 1

Answer:

m∠QPR = $\frac{1}{2}$( arc QTR - arc QSR) would be the relation between  segments, angles, and arcs.

Step-by-step 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 = $\frac{1}{2}$( larger arc -smaller arc)

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

m∠QPR = $\frac{1}{2}$( arc QTR - arc QSR).

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

Answer 2

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.